ࡱ> []Z]|r5@ 8bjbj22 -XX06666666JN!N!N!N!T"LJ<"821212121212121< < < < < < <$>=R?n-<62212122-<662121B<:::2621621<:2<:::66:21" `Y(/N!3:<X<0<:?7"?:JJ6666?6: 21"T1:l11212121-<-<JJ N!: JJN!Log Problems Assume log bases are positive but not 1. 1. (a) log2 1 = ? (b) log 1 = ? (c) loga 1 = ? 2. (a) log 10 = ? (b) log3 3 = ? (c) loga a = ? 3. (a) log5 0 = ? (b) log3 (1/9) = ? (c) log4 -2 = ? 4. Give a counterexample to the statement that:  EMBED Equation.DSMT4 . 5. log2 84 = ? 6.  EMBED Equation.DSMT4 =? 7. log37 log24 log727 = ? 8. log3 (1/81) = ? 9.  EMBED Equation.DSMT4 = ? 10.  EMBED Equation.DSMT4 = ? 11. (True/False)?  EMBED Equation.DSMT4  12. Solve for x: log927 = x 13. Solve for x: log3x = -3 14. Solve for x: logx81 = 4 15. Solve for x: log2x1/5 = 2 16. log4(x-3) + log4x = log428 17. log2(1+1/x) = 3 18.  EMBED Equation.DSMT4  19. logx(x+6) = 2 20. Under what condition(s) is it true that logaM > logaN ? 21.  EMBED Equation.DSMT4  22. Determine whether the following logs are positive or negative. (a) log1214 (b) log1002 (c) log3.1(.8) (d)  EMBED Equation.DSMT4  (e) log0.32.1 (f)  EMBED Equation.DSMT4  23. Find the log of  EMBED Equation.DSMT4  in terms of base a. 24. Evaluate:  EMBED Equation.DSMT4 = ? 25.  EMBED Equation.DSMT4  26.  EMBED Equation.DSMT4  27.  EMBED Equation.DSMT4  28. loga8 = 2, a = ? 29. loga 15 = -1, a = ? 30.  EMBED Equation.DSMT4  31.  EMBED Equation.DSMT4  Log Problems (continued) 32.  EMBED Equation.DSMT4  33.  EMBED Equation.DSMT4  34. log0.1 x = -2, x = ? 35. log121 x = , x = ? 36. log4 x = -0.5, x = ? 37.  EMBED Equation.DSMT4  38.  EMBED Equation.DSMT4  39.  EMBED Equation.DSMT4 = ? 40. Solve for x:  EMBED Equation.DSMT4  41. Solve for x:  EMBED Equation.DSMT4  42. Express as a logarithm to the base 2:  EMBED Equation.DSMT4  43. Evaluate:  EMBED Equation.DSMT4  44. Be able to use a calculator to approximate log23. 45. log2 x + log3 x = 1 46. Simplify:  EMBED Equation.DSMT4  47. Solve for x:  EMBED Equation.DSMT4  48.  EMBED Equation.DSMT4  49.  EMBED Equation.DSMT4  50. Complete the following statement regarding problem #49. If two power expressions are equal with equal exponents, then 51.  EMBED Equation.DSMT4  52. Solve the following system:  EMBED Equation.DSMT4  53. Solve the following system:  EMBED Equation.DSMT4  54. Solve the following system:  EMBED Equation.DSMT4  More Log Problems! 55.  EMBED Equation.DSMT4  56.  EMBED Equation.DSMT4  57.  EMBED Equation.DSMT4  58.  EMBED Equation.DSMT4  59.  EMBED Equation.DSMT4  = 0 60.  EMBED Equation.DSMT4  61.  EMBED Equation.DSMT4  62.  EMBED Equation.DSMT4  Log Answers 1. 0, 0, 0 2. 1, 1, 1 3. undefined, -2, undefined 4. Let x = (or any number such that 0 < x < 1). 5. 12 6. 7. 6 8. -4 9. -7/2 10.  EMBED Equation.DSMT4  11. True 12. 3/2 13. 1/27 14. x = 3 (not -3 since x was a log base) 15. 45 or 210 or 1024 16. 7 17. 1/7 18.  EMBED Equation.DSMT4  19. 3 20. If base, a > 1, then log is increasing, so the statement is true for M > N. If base, 0 < a < 1, the log is decreasing, so we need M < N. 21. -7/3 22. (a) positive (b) positive (c) negative (d) positive (e) negative (f) positive 23.  EMBED Equation.DSMT4  24.  EMBED Equation.DSMT4  25. 12 26. 1/5 27. 3/8 28.  EMBED Equation.DSMT4  29. 1/15 30. 1/144 31. .001 32.  EMBED Equation.DSMT4  33. 16 34. 100 35. 11 36. 37. 729 38. 729 Log Answers (continued) 39. 72 40.  EMBED Equation.DSMT4  41. 2/3 42.  EMBED Equation.DSMT4  43. 44. Use the Change of Base Thm to compute  EMBED Equation.DSMT4  EMBED Equation.DSMT4  *45.  EMBED Equation.DSMT4  [See below for solution process.] 46.  EMBED Equation.DSMT4  *47.  EMBED Equation.DSMT4  [See below for solution process.] *48. 1, 3 [See below for solution process.] *49. 1,2,3 [See below for solution process.] 50. their bases are equal (assuming positive bases). Exception if exponents are zero! *51. 1/3, 9 [See below for solution process.] *52. (2,4) [See below for solution process.] *53. (4,7),(1,4),(-1,2) [See below for solution process.] *54. (2,4) and (4,2) [See below for solution process.] *55.  EMBED Equation.DSMT4  [See below for solution process.] *56. (2,2), (8,1/8) [See below for solution process.] *57. 4 [See below for solution process.] *58. 2 [See below for solution process.] *59. 4 [See below for solution process.] *60. 1,2 [See below for solution process.] *61. (2,3),(1/2,3),(4,3/2),(1/4,3/2) [See below for solution process.] *62. (1/3,1/5) [See below for solution process.] Log Solutions (selected problems) 45. 3 different ways! Method 1 Method 2 Method 3 log2 x + log3 x = 1 or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4   EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4   EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  *Suggesting the following theorem? Thm/  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Use Down in front on the right side to get:  EMBED Equation.DSMT4  Then use Collapsing Log Theorem to get:  EMBED Equation.DSMT4 , done! 47.  EMBED Equation.DSMT4  (Exponentiate both sides, base 2)  EMBED Equation.DSMT4  EMBED Equation.DSMT4  48.  EMBED Equation.DSMT4  (This is going to be a quadratic. Let u =  EMBED Equation.DSMT4 .)  EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Log Solutions (continued) 49.  EMBED Equation.DSMT4  Since x > 0, equal exponents means equal bases (bases > 0) with the exception (see problem #50) that if the exponents are zero, the bases can be unequal. (i)  EMBED Equation.DSMT4  (ii) exponent equals zero case/  EMBED Equation.DSMT4  (i) & (ii)  EMBED Equation.DSMT4  51.  EMBED Equation.DSMT4  Here the exponent, 2, is not zero, so the bases must be equal (base > 0).  EMBED Equation.DSMT4  Let u = log3 x (x > 0 and since x is in the base position of a log, x is not 1.)  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4  52.  EMBED Equation.DSMT4  x, y > 0 Well work with equation #1 and then substitute into #2.  EMBED Equation.DSMT4 (Substitute into equation #2.)  EMBED Equation.DSMT4  EMBED Equation.DSMT4  but not -11/3 since y > 0, our only y-solution is 4 EMBED Equation.DSMT4  53.  EMBED Equation.DSMT4  (Looking at equation #1, x cant be zero, but it might be negative.)  EMBED Equation.DSMT4  Now substitute for y in the equation #1  EMBED Equation.DSMT4  (much better!) Consider the following Thm/ au = 1 if (i) u = 0, a  EMBED Equation.DSMT4  (ii) a = 1 (iii) a = -1, u is even. So either (i) 2x 8 = 0 or (ii) x = 1 (iii) x = -1 if 2x-8 is even (Here, its -10.) (i) x = 4 and y = 7 (ii) x = 1 and y = 4 (iii) x = -1 and y = 2  EMBED Equation.DSMT4  54.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4  so 2log 8 = 3log x and log 64 = log x3, x = 4 and so y = 2, (4,2)  EMBED Equation.DSMT4  EMBED Equation.DSMT4  so 3log x = log 8 and x3 = 8, x = 2 and y = 4, (2,4)  EMBED Equation.DSMT4  Log Solutions (continued) 55.  EMBED Equation.DSMT4  y = 2  EMBED Equation.DSMT4  y = -3  EMBED Equation.DSMT4  56.  EMBED Equation.DSMT4  Equation #1:  EMBED Equation.DSMT4  x,y > 0, x,y EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  (or y = x-1) Now plug into Equation #2: (i) 2log2 x + log2(x) = 3 EMBED Equation.DSMT4   EMBED Equation.DSMT4  (ii) 2log2 x + log2(x-1) = 3 EMBED Equation.DSMT4 log2 x = 3  EMBED Equation.DSMT4 x = 23 = 8 and y = 1/8  EMBED Equation.DSMT4  57.  EMBED Equation.DSMT4  with x > 0 and x > -4  EMBED Equation.DSMT4  x > 0  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  58.  EMBED Equation.DSMT4  with x > 0 and x  EMBED Equation.DSMT4 , let u = logx (x+2). u + 1/u = 5/2  EMBED Equation.DSMT4  2u2 + 2 = 5u  EMBED Equation.DSMT4  2u2 5u + 2 = (2u-1)(u-2) = 0, (i) u = , 2 (i) u = logx (x+2) =  EMBED Equation.DSMT4  EMBED Equation.DSMT4  (ii) u = logx (x+2) = 2  EMBED Equation.DSMT4  x2 = x + 2  EMBED Equation.DSMT4  x2 x 2 = (x-2)(x+1) = 0, only take  EMBED Equation.DSMT4  59.  EMBED Equation.DSMT4  = 0 iff  EMBED Equation.DSMT4  = 1 iff  EMBED Equation.DSMT4 = 5, x > 0 So square both sides (moving one radical over if you prefer):  EMBED Equation.DSMT4   EMBED Equation.DSMT4  60.  EMBED Equation.DSMT4 , no restrictions on x for a change!  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  Bases are equal, so EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4 , multiplying by 9 to clear of fractions  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Log Solutions (continued) 61.  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  Equation #2 is easier to work with, start there. Multiply by 8u to clear of fractions: 8u2 + 8 = 65u or 8u2 65u + 8 = (8u 1)(u 8) = 0 With 1/8 and 8, well go back to Equation #1: (i) u = 8 = xy  EMBED Equation.DSMT4  EMBED Equation.DSMT4 . Now clear of fractions to get: 64 + x4 = 20x2 x4 20x2 + 64 = (x2 16)(x2 4) = 0  EMBED Equation.DSMT4  x =  EMBED Equation.DSMT4  four solutions? (x=4) 4y = 8  EMBED Equation.DSMT4  22y = 23 EMBED Equation.DSMT4 y = 3/2  EMBED Equation.DSMT4  (x=-4) (-4)y = 8 undefined, try y=3/2 vs 6/4 (x=2) 2y = 8  EMBED Equation.DSMT4  y = 3  EMBED Equation.DSMT4  (x=-2) (-2)y = 8 undefined, try y=3 vs 6/2 (ii) u = 1/8 = xy  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 1 + 64x4 = 20x2  EMBED Equation.DSMT4 (16x2-1)(4x2-1) = 0 EMBED Equation.DSMT4 x =  EMBED Equation.DSMT4  (x=1/2) (1/2)y = 1/8  EMBED Equation.DSMT4  y=3  EMBED Equation.DSMT4  (x=-1/2) (-1/2)y = 1/8, same problem! (x=1/4) (1/4)y = 1/8  EMBED Equation.DSMT4  y=3/2  EMBED Equation.DSMT4  (x=-1/4) (-1/4)y = 1/8, no answer 62.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  Lets just start cranking away by taking the log5 of both sides of equation #1  EMBED Equation.DSMT4 . Now exponentiate both sides base 10  EMBED Equation.DSMT4  (whew!) Now well use that theorem:  EMBED Equation.DSMT4  Why?!?! (I think I found this in a Russian book!) So lets start using equation #2  EMBED Equation.DSMT4  Now watch the switch around with xlog 3 into 3log x. Very nifty!  EMBED Equation.DSMT4  Now the simple Law of Exponents (1) 3log 3 + log x = 5log 5 + log y (Looking at the extra room below, I think Ill change font size!)  EMBED Equation.DSMT4  (Much better!) Now substitute that early result: x =  EMBED Equation.DSMT4 .  EMBED Equation.DSMT4  and take the log3 of both sides to work on the left a bit.  EMBED Equation.DSMT4  Now to put everything in base 10. log 3 + EMBED Equation.DSMT4  (log y) = (log 5 + log y) EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4  -log 5 = log y  EMBED Equation.DSMT4  5-1 = y  EMBED Equation.DSMT4  9:=DEbcij       " # % & . / F G H I R S X Y ^ _ l m | } ˾ִֹֹֹֹֹ֑֩j@ hMUVj@h['+hMEHUj"@ hMUV hMH* hMH*jh['+hMEHUj@ hMUVhMjhMU h?H*hv* h?h?h%1h? hv*>*4:j + L f y  $ @ ^ }  b  L l 8    # $ 8 9 T U V Y e f q r y z    ö汭歨jEh['+h,EHUj@ h,UVjh,U h,H* h,H*h, hMH*j= h['+hMEHUjO@ hMUVjJ h['+hMEHUj@ hMUVhMjhMUj7h['+hMEHU1    j l v y     - . E F G H K L P Q h ˾۳ۛۃvrrjrjh@sUh@sjh['+h,EHUj@ h,UVjh['+h,EHUj@ h,UVjSh['+h,EHUjq@ h,UVjh['+h,EHUj@ h,UV h,H*h,jh,Ujvh['+h,EHUjX@ h,UV(h i j k p q      ' 8 9 P ۸ۦۦۛۃvqieh -jh -U h@s>*jP1h['+h@sEHUj@@ h@sUVj-h['+h@sEHUj@ h@sUV h@sH*jU*h['+h@sEHUj@ h@sUVj&h['+h@sEHUj@ h@sUVh@sjh@sUj]#h['+h@sEHUj@ h@sUV$  4 T t !O}'?iTt*P Q R S T X Y p q r s { ~ 34KL̿׺׺׺ׯחrgj@ h -UVj4Bh['+h -EHUj~@ h -UVj>h['+h -EHUjX@ h -UVjf;h['+h -EHUj@ h -UV h -H*j%8h['+h -EHUj@ h -UVh -h@sjh -Uj4h['+h -EHUj@ h -UV&LMNabyz{|#$&'./78MNefgh{|ö櫞暕暕ujj}@ hcKUVjTh['+hcKEHUjG@ hcKUVjhcKU hcKH*hcKjPh['+h -EHUj@ h -UVjLh['+h -EHUj@ h -UVjHh['+h -EHUj@ h -UVh -jh -UjxEh['+h -EHU',STXYpqrs&ö沪zobjih['+h%1EHUj@ h%1UVjhfh['+h%1EHUj@ h%1UVjbh['+h%1EHUj@ h%1UVjh%1Uh%1j^h['+hcKEHUj@ hcKUVj:[h['+hcKEHUj@ hcKUVhcKjhcKUjWh['+hcKEHU&&'()*-AFG^_`afg~׿ק׏wj_j@ heUVj`{h['+heEHUj@ heUVjwh['+heEHUj@ heUVjxth['+heEHUjP@ heUVjph['+heEHUj @ heUVjheU he>*heh%1jh%1Ujmh['+h%1EHUjQ@ h%1UV"*+,-Bb&FGHIJKLMNOPQRSTUVW  "#$%&'()*+BCDEF[]abcijk ⾺⺚~yqlqgql h>* hm3>*hm3hm3>* h?T>*jfhP1hwIEHUj@ hwIUVhwIjhwIUjh['+hm3EHUj@ hm3UVhm3jhm3Uh?Tjh['+heEHUj[@ heUVhehrgjheUj~h['+heEHU'WXYZ[\]kv 'Siow1:    )+RSXY^`{|#׿ק׏wjfhjښh['+hoEHUj@ hoUVjh['+hoEHUj}@ hoUVjh['+hoEHUjG@ hoUVjh['+hoEHUj@ hoUVjhoU hoH*hohm3jhm3Uj@h['+hm3EHUj@ hm3UV&: ?FNU[ck>L#$;<=>kx !#:;<=>?CD[\Ǻrncj@ hUVhitj3h['+hEHUj(@ hUVjnh['+hEHUj @ hUVjh['+hEHUj@ hUVjXh['+hEHUj@ hUVho h>*jh['+hEHUj-@ hUVhjhU%\]^$*KPCDEX~⾺ƖƺhTh=hBmPhBmPhW>*h~,jqh['+h?TEHUj@ h?TUVh?Tjh?TUhWjh['+hEHUj!@ hUVhhitjhUjh['+hEHU5LD-Z6[q\xUe,-.3YZ[`57;<FZ[_tϾh"jh3oUhitEHUj]r@ hitUVjhitU hitH*h=hith hPC>*hPChPC>*hPCh/=h?ThTjh?TUjh['+h?TEHUj@ h?TUV7 !"9:;<@AXYZ[_`wxyz}pejDt@ h"UVjh3oUh"EHUjs@ h"UVjh3oUh"EHUjs@ h"UVjh3oUh"EHUjrs@ h"UVjh"Uh"jgh3oUhitEHUj,s@ hitUVj h3oUhitEHUjr@ hitUVjhitUhit#5678<=T¾¾¾¾¾v¾¾k^¾¾jSh3oUhA\EHUjyy@ hA\UVjh3oUhA\EHUjz@ hA\UVjh3oUhA\EHUjx@ hA\UVjdh3oUhA\EHUjx@ hA\UVhA\jhA\Uh-_j*h3oUh"EHUjt@ h"UVh"jh"Ujh3oUh"EHU$TUVW\]tuvw{|۸۠ۈ{wowdWojh3oUh EHUj{@ h UVjh Uh jh3oUhA\EHUj z@ hA\UVjh3oUhA\EHUjoz@ hA\UVj`h3oUhA\EHUj>z@ hA\UVj h3oUhA\EHUjy@ hA\UVhA\jhA\Ujh3oUhA\EHUjy@ hA\UV!01239:QRSTXYpqrstuvwtiji|@ h UVjh3oUh EHUjP|@ h UVh=jjh3oUh EHUj)|@ h UVj]h3oUh EHUj{@ h UVj1h3oUh EHUj{@ h UVjh3oUh EHUjc{@ h UVjh Uh h"'IJabcd⾶{ncj}@ h=UVjQhP1hwEHUj@ hwUVj:hP1hwEHUj@ hwUVjb hP1hwEHUj(@ hwUVjhwUhwjU h3oUh=EHUj}@ h=UVjh=Uh=h jh Ujh3oUh EHU!  #$%&'>?@ABFG^_`a·榞{nfbWjD@ h?!'UVh?!'jh?!'Uj %h3oUh8EHUj!~@ h8UVjF!h['+h8EHUj@ h8UVjh8Uh8jIh3oUh>nEHUj}@ h>nUVh>njh>nUjh3oUh=EHUj}@ h=UVh=jh=Ujkh['+h=EHUB > ? @ A ] !:!!+""""A### $r$$$e%%(&J&gd:'gdw       ! " # : ; < = > A P ] a b y z 滮ꪟꪇzuplh`hUj@ hwUVjhwUhwhBmP hBmP>* hw>*jS6h3oUh?!'EHUj@ h?!'UVj2h3oUh?!'EHUj׀@ h?!'UVh?!'jD/h3oUh8EHUj@ h8UVj+h3oUh8EHUj$@ h8UVjh8Uh8jh?!'Uj'h3oUh?!'EHU z { | !!6!7!8!9!]!^!u!v!w!x!!!!!!!!!!!!!!""'"("滮棖撊rjf[j֋@ hdUVhdjhdUjFh3oUhBmPEHUj!@ hBmPUVjhBmPUhBmPjCh3oUhwEHUj^@ hwUVj@h3oUhwEHUj>@ hwUVj&=h3oUhwEHUj @ hwUVhWhw>*hwjhwUj}9h['+hwEHU!(")"*"9":"<""""""""""""""""""""""""""E#F#]#^#ݺݢݑ~qfj.@ hL<^UVjHYh['+hL<^EHUj@ hL<^UVjhL<^UhL<^j1Uh3oUhdEHUjό@ hdUVjQh3oUhdEHUjE@ hdUVjMh3oUhdEHUj@ hdUVhd hBmPH*hBmPjhdUjsJh3oUhdEHU"^#_#`############### $ $ $ $ $$$)$*$+$,$.$o$r$v$w$$ö檲掆{njf^fjh:'Uh:'hpjLkh['+h~,EHUj@ h~,UVjh~,Uh~,jgh/HLh7EHUjˏ@ h7UVjh7Uh7jch/HLhL<^EHUj)@ hL<^UVj`h/HLhL<^EHUjƎ@ hL<^UVhL<^jhL<^Uj\h/HLhL<^EHU!$$$$$$$$$$ %%#%$%;%<%=%>% & &$&%&&&'&(&,&-&D&E&F&G&N&O&f&۾۳ۛۊ~sf^jh=Ujn|h3D"hNVEHUj@ hNVUVhNVjhNVUh=jxh/HLh:'EHUj@ h:'UVj\vh/HLh:'EHUj@ h:'UV h:'H*j>rh/HLh:'EHUj@ h:'UVh:'jh:'Ujnh/HLh:'EHUj{@ h:'UV!f&g&h&j&&&&&&&&&&&&&&''''(')'G'H'_'`'a'b'c'd's'''ۿwje`\Xhwh) h)>* hw>*jҏh3D"h>EHUjԗ@ h>UVjh3D"h>EHUjw@ h>UVjh3D"h>EHUjA@ h>UVjh>U h>H*h>jvh3D"h=EHUj@ h=UVh=jh=UjWh3D"h=EHUj]@ h=UV!J&&&'c'd''''4((()):*Z*z**`++T,,&-H---g...gdwgd)'''''''''''''''''''''(( ( (((0(1(2(3(4(?(@(A(X(ķ׬כ{pc_hvjh3D"h)EHUj+@ h)UVjxh['+h)EHUjP@ h)UVjh)Uh)jh3D"hwEHUjc@ hwUVjh3D"hwEHUj@ hwUVjhwUhwjhP1h"EHUj@ h"UVh"jh"U#X(Y(Z([(](^(u(v(w(x((((((((((((((((((((()) ))))))/)0)Ȼ۶۲ۭۭۢۊ}ۭۭ۶rj@ hvUVjh3D"hvEHUje@ hvUVjƮh3D"hvEHUjA@ hvUV hvH*h) hvH*jOh3D"hvEHUjҞ@ hvUVjhvUhvjh)Ujh3D"h)EHUjH@ h)UV'0)1)2)5)6)=)>)U)V)W)X)])^)p)q))))))))))))))))))))))***湬樠}p樠}cjh3D"h/EHUjh3D"h/EHUj@ h/UVjh['+h/EHUj@ h/UVjh/Uh/jh3D"hvEHUj@ hvUV hvH*jh3D"hvEHUj@ hvUV hvH*hvjhvUj h3D"hvEHU&******6*7*8*9*>*?*V*W*X*Y*^*_*v*w*x*y*~*************|odWjhr[hYTEHUjc@ hYTUVj`h['+hYTEHUj@ hYTUVhYTjhYTUj h3D"h/EHUj@ h/UVjh3D"h/EHUj@ h/UVjh3D"h/EHUjm@ h/UVj~h3D"h/EHUj@ h/UVh/jh/U"******+++ + + +++/+0+1+2+5+6+o+p+{+|+++++++++++++++++++++ ,,,,,,ܽܰ܋~j0h3D"hYTEHUjh3D"hYTEHUjhr[hYTEHUj@ hYTUVjh3D"hYTEHUj h3D"hYTEHU hYTH*jh3D"hYTEHUj@ hYTUVjhYTU hYTh/hYT hYTH*1,8,9,P,Q,R,S,W,X,Y,p,q,r,s,x,y,},~,,,,,,,,,,,,, - -"-#-$-%-+-,-C-Ÿд|qdjhr[h ;EHUj@ h ;UVjkhr[h ;EHUj!@ h ;UVjhr[h ;EHUj@ h ;UVjh ;Uh ;jh['+h7bEHUj@ h7bUVjh7bUh7bjhr[hYTEHUjb@ hYTUVjhYTUhYT&C-D-E-F-L-M-d-e-f-g--------------------ķϯ|odWOKh"jh"Uj hr[hwEHUj@ hwUVjuhP1hwEHUj[@ hwUVhwjhwUjhr[hDEHUjv@ hDUVhDjhDUj.h['+hEHUj[@ hUVhjhUh ;jh ;UjAhr[h ;EHUj@ h ;UV-----....-.../.1.H.I.J.L.c.d.e.f.h.i...........ȻӰӘ׃xk׃`SjShr[hDEHUj@ hDUVjhr[hDEHUja@ hDUVjhDUj>hr[h"EHUj @ h"UVjhP1h"EHUj[@ h"UVjhr[h"EHUj@ h"UVh"hDhjh"Uj>hr[h"EHUjS@ h"UV .........// / /!/"/#/'/(/?/@/A/B/x///////000050607090P0Q0ϼϤϓϓ{ncjZ@ h)UVj-hP1h)EHUj9@ h)UVjh)U h)H*h)j)hP1h^;EHUj@ h^;UVj%h['+h^;EHUj@ h^;UVjh^;Uh^; hD>*h"jP"hr[hDEHUjP@ hDUVjhDUhD&../t// 0001+2 334N444555 6N66'777Q88gdDQ0R0S0z0{00000000000000000000000 1 111*1+1,1-1/111516171N1O1P1Q1Y1Z1q1澱榙ᑍuj(;hP1hEHUjD@ hUVhjhUj8hP1h)EHUjD@ h)UVj5hP1h)EHUj@ h)UVju3hP1h)EHUj9@ h)UV h)H*h)jh)Uj,0hP1h)EHU.q1r1s1t1v1111111111111111111111 2 2*2+2?2@2A2B2Y2Z2[2]2t2u2רחےۗےۊrgj@ h HUVj5FhP1h HEHUj9@ h HUVjh HU h HH*h)j1ChP1hEHUj@ hUVj@hP1hEHUjD@ hUV hh hH*hh HjhUj=hP1hEHUj@ hUV'u2v2x22222222222222222222222222233 3 3 3!3(3)3@3A3B3C3H3I3`3a3ۼۯ椗ۊjϴ@ h HUVjgVhP1h HEHUjmShP1h HEHUjN@ h HUVjPhP1h HEHUjsNhP1h HEHU h HH*jKhP1h HEHUjD@ h HUVh Hjh HUjHhP1h HEHU,a3b3c3|3}3333333333333333344444-4.4/404142434J4K4潜xtltaj@ h"UVjh"Uh"jahP1hwIEHUjȸ@ hwIUVhwIjhwIUh h{<H*j^hP1h{<EHUjI@ h{<UVh{<jh{<Uj%\hP1h HEHUjD@ h HUV h HH*h Hjh HUjXhP1h HEHU"K4L4M44444444444555 552535J5K5L5M555555555555566&6'6澱步步uppej@ h;UV h;H*j`thP1h;EHUj۽@ h;UVjnqhP1h;EHUj@@ h;UVjh;Uh;jmhP1h"EHUj@ h"UVjihP1h"EHUj@ h"UV h"H*h"jh"UjehP1h"EHU''6(6)6S6`6d6q66666666 7 7"7#7$7%7&7'7)7*7A7B7C7D7U7V77777777777ŽŲ桽Ŗ|qd|jRhP1hlkEHUj`@ hlkUVjhlkU hlkH*j(hP1hS&EHUj@ hS&UVhlkj]}hP1hS&EHUj@ hS&UVjhS&UhS&jezhP1h;EHUj@ h;UV h;H*h;jh;Uj_whP1h;EHU'7777777788888182838485868M8N8O8P8Q8S8T8k8l8m8o88888888Ÿܙvi\jוhP1hS&EHUj^hP1hS&EHUj@ hS&UVjhP1hS&EHUj@ hS&UV hS&hS&jhP1hS&EHUj@ hS&UVj׉hP1hlkEHUj@ hlkUVjhlkUhlkjhS&UjhP1hS&EHUjP@ hS&UVhS&$8888888888888˾߷ hPChPCjϚhP1hS&EHUj@ hS&UV hS&H*hS&jhS&UjShP1hS&EHUj@ hS&UV +01}/ =!`"`#`$`%@Dd  |0  # A2>>w+ŷUWaD`!>>w+ŷUWa `p0^xڝTKoQ)`[$qVRDMD4qCN@7ZƸ IcLr ,E3);ãŚ&ǹs`#pA5XObuv};/:MҢۇyt1PI&+0GS=+/tdvDž4Uϓk]{;xCMFEoԴf15!5Vh )j̉b!8WNjyP((9De%Jc>cv8.3و )iw!Q닟]Ϥ! d)(>6 BPNcsv/!ʇ3'Ii|,ލ7rms T"}^oE h37d6gTw/vwQˉWYdR'hnDˑ5[Wf4CY>uHAZkjbf5Dh0NrBRn%z|"eo;M\wo:jNށ+hF<*_ ٧朡 {?hzQE1S;=P)tjt6zS${/YDd p 0  # A2s؝PAqhݢ{O`!G؝PAqhݢ{xڥSM@~fl% *_B[nуղ1T nR{+{}o?_у?@JN wf.xqLy?<U@q1 9bb wvfnի<Ak?+Z2\GJ;OÀBewE)p*&ֱ}|ceٻ=6\qkYETEGȶe3,ZјKޖWZIF1N jhM~@PZ^?hQ$Tļxݔ6qJvq:cr) Z;Doâ޷n^[5 QUDd 0  # A2AWn>Nk{`!cAWn>NP@C1xڥSKkQN"o*u tG.2!N:!IЅOG*Y.fxܙ֍;;eX8XmX(1>6b %O,I7c1ƈ!EȄ䏴d<Uuk9& m<WS`2GR[*ͥީ$3(H5;]{h{nťꑗ|;QsK_rSFEHY8?㶋>;+Q?&+%| Tp~r,,ӄZ޼GS[v5lWݧնHkVۤ}DZ7þ #X^f=a(Y_JQc˿ꄙj/_kj$<E` W]i:QWEJA$Et1!= (W_f \%j~i=2<E+X }`A7]jC+0:5[#O+P_ &Dd  0  # A2o=;{YLK `!C=;{YL(+xڥSo@}wvBš|7"6T |"{4@ԤB$ uB) !c_с?E@/N%*1Г~~wcXC؃b<bf\yy~W]PB,N̄g[*0epڣhS"n2,o-j- m.G^",dnXz62Mc=@0{X(hd71\ۄX=K s A_KEjj瘖%z2bkF.9ݶ}OjSvPTZP-xz}DQma,V96os|nF 6zt-WBzFi0Ո3 p?9H\v!i7aM 8)+ ʿ+DKpt*axHGtPǩdВFoLNv~dqze(Io5Dd 0  # A2Q% SR e` 1`!XQ% SR e h&xڥS]Q~3j2F%9mtQ]dIݸn &莨1I7DDO˽.\{3㸰E<9 |'@` 9"1t}!H]^aL&#{&sZ2\gQn Ԇ]rf DWC1F߄>s7H1]V V>dI8*gklSƶLep]q˓cpBacP .ƏUV,I @`4R<߰d;fֆ\̒zO v9E6=RY!<77%jVvrvo=*JiWU櫉 ^ rM/=8Ľzb~Lr]/|QD+wS} vWe?W/KrZX n28RUf)M+UTF)9@^fu9Lr,&c ќw{pF7.VqEŭ9+=RO1Dd 0  # A2xbVZhldy1`!xbVZh  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQSTUVWXY\_`abcdefghijklmnopqsrtuvwxy{z}|~Root Entrya F(/^Data RWordDocument`-ObjectPoolcD@9(/(/_1088543193F@9(/@9(/Ole CompObjiObjInfo !"#$'*+,-.14567:=>?@CFGHILOPQRUXYZ[\_bcdefgjmnopsvwxy| FMathType 4.0 Equation MathType EFEquation.DSMT49q=@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  log 3 Equation Native Y_1088543266 F@9(/@9(/Ole  CompObj ixd"log 2 x   ""x >>0 FMathType 4.0 Equation MathType EFEquation.DSMT49q @6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_ObjInfo Equation Native <_1088543433F@9(/u;(/Ole APAPAE%B_AC_A %!AHA_D_E_E_A   log 2 7log 2 49 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesCompObjiObjInfoEquation Native /_1088543479 Fu;(/u;(/Times New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 2   "-72 FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObjiObjInfoEquation Native  7@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A   log 2 5log 5 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088543567Fu;(/u;(/Ole %CompObj&iObjInfo(D@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  log 3 24==log 3 10 log24Equation Native )`_1088543737"Fu;(/u;(/Ole /CompObj 0i FMathType 4.0 Equation MathType EFEquation.DSMT49q @6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  log (x 2 "-1) 27==3ObjInfo!2Equation Native 3<_1088543832$Fu;(/u;(/Ole 8 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  log   1CompObj#%9iObjInfo&;Equation Native <;_1088543953;)Fu;(/u;(/3  9 3 3 ==? FMathType 4.0 Equation MathType EFEquation.DSMT49q"@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_Ole ACompObj(*BiObjInfo+DEquation Native E>A  log   23    27 () FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O'_!!/G__1088544113.Fu;(/u;(/Ole JCompObj-/KiObjInfo0MEquation Native N1_1088544160,63Fu;(/u;(/Ole SCompObj24TiAPAPAE%B_AC_A %!AHA_D_E_E_A  log    1p    p4 FMathType 4.0 Equation MathType EFEquation.DSMT49q;@6M6GXDSMT4WinAllBasicCodePagesObjInfo5VEquation Native WW_10885442508F<(/<(/Ole ]Times New RomanSymbolCourier NewMT Extra!O'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A    b 2 c 3 d 4 e 57 FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObj79^iObjInfo:`Equation Native a_10885442841E=F<(/<(/o@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  25   12 ++log  15 27++log 125 81Ole hCompObj<>iiObjInfo?kEquation Native l# FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log  2   64==? FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_1088544649BF<(/<(/Ole qCompObjACriObjInfoDtEquation Native u6_1088544687@JGF<(/<(/Ole zCompObjFH{i_A  log  a    a 10 ==? FMathType 4.0 Equation MathType EFEquation.DSMT49q*@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%uObjInfoI}Equation Native ~F_1088544788LF<(/<(/Ole ^!APAE%B_AC_A %!AHA_D_E_E_A  log a 2   a 34 ==? FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObjKMiObjInfoNEquation Native [_1088544832'mQF<(/<(/?@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log   1a  12==  12 ,a==? FMathType 4.0 Equation MathTyOle CompObjPRiObjInfoSEquation Native Npe EFEquation.DSMT49q2@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log  a 3  10=="-1,a==?_1088544909VF<(/<(/Ole CompObjUWiObjInfoX FMathType 4.0 Equation MathType EFEquation.DSMT49q7@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log x Equation Native S_1088544943T^[F<(/ >(/Ole CompObjZ\i"-2  81=="-2,x==? FMathType 4.0 Equation MathType EFEquation.DSMT49q-@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%uObjInfo]Equation Native I_1088545039`F >(/ >(/Ole !APAE%B_AC_A %!AHA_D_E_E_A  log   12  x=="-4,x==? FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObj_aiObjInfobEquation Native B_1088545112YreF >(/ >(/&@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 3   x==4,x==? FMathType 4.0 Equation MathTyOle CompObjdfiObjInfogEquation Native .pe EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  8 log  2 3 ==?_1088545150jF >(/ >(/Ole CompObjikiObjInfol FMathType 4.0 Equation MathType EFEquation.DSMT49q(@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  729   13 ++log 81 4Equation Native D_1088545417coF >(/ >(/Ole CompObjnpi FMathType 4.0 Equation MathType EFEquation.DSMT49qr@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EObjInfoqEquation Native _1088545211hwtF >(/ >(/Ole _A  log a x==  14 log a m"-  58 log a n FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObjsuiObjInfovEquation Native _1088545300yF >(/ >(/k@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 x==  13 log 2 8"-2log 2  3 Ole CompObjxziObjInfo{Equation Native  FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 4 a++log 8  a 3 ++log   12  a a  ++ 1log a 8 FMathType 4.0 Equation MathType EFEquation.DSMT49qM@6M6GXDSMT4WinAllBasicCodePages_1088545494~F >(/ >(/Ole CompObj}iObjInfoEquation Native i_1088545607|F >(/ @(/Ole CompObjiTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   log a 2  blog  a    a 3 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfoEquation Native =_1088545661F1I(/1I(/Ole !@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3  1log 2 3++1 FMathType 4.0 Equation MathTyCompObjiObjInfoEquation Native R_1088545719F J(/ J(/   #$%&'(+./012369:;<=>ADEFGHKNOPQRUXYZ[\]`cdefghknopqruxyz{|pe EFEquation.DSMT49q6@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 5++3 x 2 ()==5Ole CompObj iObjInfo Equation Native   FMathType 4.0 Equation MathType EFEquation.DSMT49qf@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  6 log  3 x "-7"6 log 3 x ++6==0 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePages_1088545769F J(/ J(/Ole CompObjiObjInfoEquation Native _1088545920F @(/ @(/Ole CompObjiTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x 2 ++6() log 2 x ==5x() log 2 x FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x"-1 log 3 x 2 "-2log x 9 ==ObjInfo!Equation Native "_1088546000F>L(/>L(/Ole )(x"-1) 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObj*iObjInfo,Equation Native -_1088546069F`M(/`M(/_A  log 3 x"-log 9 y==0x 2 "-3y 2 ++44==0{ FMathType 4.0 Equation MathType EFEquation.DSMT49qOle 4CompObj5iObjInfo7Equation Native 8@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x x 2 "-y 2 ++8x++1 ==12 y ==8"2 x {_1088546129OF @(/ @(/Ole ?CompObj@iObjInfoB FMathType 4.0 Equation MathType EFEquation.DSMT49qV@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log y x++log x y=Equation Native Cr_1088546571F @(/`A(/Ole ICompObjJi=2.5xy==8{ FMathType 4.0 Equation MathType EFEquation.DSMT49qL@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EObjInfoLEquation Native Mh_1088546640FLO(/LO(/Ole S_A  x y ==22x() y 2 ==64{ FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesCompObjTiObjInfoVEquation Native W_1088546733FP(/P(/Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log y x"-log x y==02log 2 x++log 2 y==3{ FMathType 4.0 Equation MathTyOle ^CompObj_iObjInfoaEquation Native bpe EFEquation.DSMT49qe@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 16 x++  12 log 4 (x++4)==  54 FMathType 4.0 Equation MathType EFEquation.DSMT49q\@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_1088546789FP(/@YR(/Ole iCompObjjiObjInfolEquation Native mx_1088546843F@YR(/@YR(/Ole sCompObjti_A  log x x++2()++log x++2 x==  52 FMathType 4.0 Equation MathType EFEquation.DSMT49qa@6M6GXDSMT4WinAllBasicCodePagesObjInfovEquation Native w}_1088546907FS(/S(/Ole }Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 7 log 5  x++5  ++ x  ()() FMathType 4.0 Equation MathType EFEquation.DSMT49qldy @COxڝTkAl6m1ڀQ =DFM1F]b $e DIxQ@rcbI8cch$6'q~>>)xͻʤzcSv58rL`YGF f ƌ_]ƈY1]zHX]eg|\_ט[d[Fu3U˭D/+z !QC4!wjVp"\,c3WH?rv)U/ @ vξl%҂ -ð;T!YwvJRTϨ iT [UޫgBe%wBE˸|®s1-(QĠJ'M w RW.W +woqjةsi4yMGo"MDd 0  # A2R)XNՆ1`!R)XNՆ,@ PVxڥTOSAAymVP# BK!x!U_j~ )!!LL@LGc.&?x'Ӽ ev3󛝝`D3BHfEW .A膦PB,f%L~tmXbV]mpN75:QKE[].[z(bH4Z4x~Hb*)נskAag}^3pN\7pl킉dCN݌^S1`!/ jlUaP @CwxڭTkA3&ZnAm@B=AFI.1$e]ЊA/P(O֋뛙݅VB2/o~{3o@`CI $B]9%3(]'a\0P3B\CJ@9x\::DQwhDx?NfSE}lx*Jq)bwfQAwXr(jviGE98Yڳ28 **9GO4_|([߯pdlQqs`vG﫷uKkv0)~!y"8leJIy,H7$8PcJIy,#5mCiu;fee k5ګ(6%^m>%咹k= P zM8QqCjWn4 q\H);aR*Y8+PM3Dr_! X0Bq`E6,nP+膁 --8ıi6sy6YMh5s 1`fa o;-Gn_'-N1 |fz{ e-Y>%3Dd 0   # A 2_b Z|1`!_b Z||`\QxڝSkA~of&$(j1jZr"MҠx QH!բPD/wA99Hؓ뛙݈P찳o -]#B!2uB^hd]&a |A(OsK'#`%>z6Vc270"5TOe kU0B2Sej&ӹՅڲ*EmeُOD u3ڴh%)lжŠ{Rҙ_d4/Y#YS4y-|Ƕ˖ǀF?EU#)rW͔%$w*l 0`:18ty-{TQ)F;NGn4;(6IivҪ27_R֏^ V23?IfMibv:3xX\ϕ RK{etهջZqȮdJ[QNtYәXJ}7W'D:ODS9ce$yL07u'ܔ~H''7DZ$TprS3M}2ǘcX rz9N!6VzDjQw a*` 8pΛlȜh~nZy+E"g (!\ߩm͹}]!kkDd 0   # A  2p=ʧs?z6 1`!p=ʧs?z `:xڵTkQy$I[WPAb< &F@-IJ ^B^Ћݫ@/ţzK {Rlٷ*z>v 737üAP> vF@t4֮Y .$V͐vɧ<|&dH[AB^U r~BQ< B%qeYfHk *},iM}ӯ}c%.7ZF'zE:z Gz|ɍ\H؉]4qv~HzI/98I$jr O>)/V1<49EӬ'H,'*k}d#i@=}8i- C,~ل^qxĮrr*5vZ)-kglx3׌bnt cDqrfa"j?k0 ؝8:36SzBH{hmgmQ76+ռ_F!-)Sl\gI)¨~AyDg YBᑣ>C\&A[&:6VxIٝ<$5ztuىh~Cer5pFT~kdݍo.gz_NqOKDd x0   # A  23qNRPy&R#1`!3qNRPy&R  @CixڝSMlQe.$ ߶Xh !(1b@'A"tYDXM/M/ƣG/86޽צ!Ĩ>P^|yۙ7͛7a @ z B! C]RѾ 0ab3x!Ě>w,]?+Jai O3(BFGt,PF<>FHkI;]=z1nV+G:*#'޿0`,t:X"_q=JvJOvAG]P*PZ!WLmީmtU1JhAXobKiQg.~Zf)їZ!ǁ'9 ɡ4KY$y 1AwRw:#Í%e#ф8;:tz#DMlU GřܜtBHBe nʍQDd 0  # A 2 X O)WX*1`!X O)WX @` xڭTkA~of6i6VI* -^4iZ4Z<4.54%I z7OJ/BO^f<x(<'Iы̷{{ov27l|4j Q!dvF⼬|3Hah1ۄe˓pR|6je`n&# 7xU5 :Mz*px4^&^ᖘcCZ6gyx+Kj{ G*1'0,vT#-jYΕK vju*.w4FO1,ۿϷǽ?4M jYľ8ՐL8Y/v7˚?<|||@4xG/5CiPO֋ilx;1;t&su,j~5*\ERJIt6:V1 1hx+dXG,IfQkcjPnň :fm?00c7!偌*R9A"e-I{dA ^:vKjzS9@gLI䭇pޡ=SԉسyTQ%C ?TYucAܶ :nDd 0  # A2߽ 6S&.1`!߽ 6S|` .xtxڭTMhA~o&@*&x׀bS@҄$%xJ^SE$={|s{뜿ϼ`1LH81fV> /r}2x( ?J[>CܩޭU"_qc ‰Ėws Dhq9_LT2z|/[o,% e2wQFh!DGRfp S`XFt2uσv6sZ*l<5a ^<`I, 7Kׅ[kW[R۟0?8D/C1])*cڦ}W&_\ 0 ''3gC^NSQ{Ab SR(E&3BI.h\]֢u>9 VVgX S<cZwL̤-&>b %A8h\">rv|Hш,5K$GA, xB_`{ EhVg%`9Jy(/ "bd㛦ci@?Dd 0  # A2>2A1#G S*51`!>2A1#G S @Ph]xڝTkAl͇+ BрŤuMn!/"͋OC[-a= 7P҂þ7s~,81D1c|0Hȼ|hmޛwˣaa $OԞX-4^[U(S"UfßqɅß/Uzn6.Yp ܅̢dMSp̎`N=_l&# rLbla!!^*?Zi+vޛQ^vFLv^6j!Mu;'9aoVQ1o\G` N;`!:x>o\G` N @CxڝSOSA{^?HKDN& D(/ؤ_L#'ſMLKtL`cwl'vX.Lz`?95똥xu4?F7uY"-K41:`gg-FA)i4I#&cI$)1PD*RAA/'=*O(q8o&"}7;f~3fx`R!wO276[uMw)IĿ \kdoy 46t9#/˟ (aO5{m+=X-'-=._$ {3GbGX߉>=Q~K|=%#ee]ڊQίñD>C?E'!U P D۽vX.abI(g9fM;U6 kw<$!(T8zM t|(A}QK}Z$;vM˲*H&KTffq=V*턱/ z ܎Ư$JQ%[!cAn4zӱe:c`&3vl/P+yC\ u(~-81~9V ~Xd',\gHJN9D#vq\Ǔ K;@WqUP )ש=6^%O?Ug.}Vjp|\6|TNVR$m>5Ke aIa9M؛6wdzyQGFksk:E.%iNX{"Y!-MpA;T @v:k~VXKjA$(Q2)`gUxB €t mbo~鞗Q [%hLq^v# }^:ۨ޷lA4[FWv~Sp#uؖʸ^;7t0iDd 0   # A 2dEȟA%E`!dEȟA%xxtxڥTkA3lm&!bj  1llHR6H KœxCSRAfg76ߛ~{;3fOG76Jm:-lcsԙ} ,u]a l2C;lkgy!;u Dgqua%)ȡHt,ǚ#~5MG`<;3ޚu:͖/ ڒ,_7F{Oc sDd  0  # A 2)C$KT%I`!C$KT@xڭTKOQ>vDZ6$R\J!c@+U' U4un\5+,]H3nPϝ3`c N漾s} = [ CYp씲 B h{;Kj!AI6 oRoGPZ ]|Λ5bEڈ ,@O5Pj'Ml[k[ٺDS`iw#a2Pr]A8z=ԌGEgh/Qs|}j7=yಬ#riEJMm[=4_-k2X1HhIVk2P;iȂ\V57Υ!F/u `rƎS9Ė[Y蝻g 9O3L% l98UzbNfsftB|t%U,=D'`@k^,w b v/$'{¾hSD?5H@-J [p衊zA$-H\S][IP4/x5#\h\ڕ!j1VE wxAw|~Drm#w/UI8Z/;]-/EA 8|e cۖBZDd T 0  # A 2E<o8k)[L`!E<o8k)[ H(xxڭUKTA?sǽ{4ݨ$¯h)u4%Vh71|"Z@{%h)zY>h;sޫY^̜=swΙa [9s cưP(AVa$G8$6#JZ_Z,EDa LiGya'ZœǨ8$լWfKj_Wz[(29~W\ςnI9xekoJ3}wEEB@5䰓ކY}}2UlzN (W?_i1Xᷙ]lh81:/8=V;&z3$0U$pvOys?g}`kHK2M]N;չ&džcbt+l61C!_ʎ@~2_ -j项>(M+5+Bd xj } ZI2N0@ ;SCKFF/@!J#Mk8\/7mAcsq/2 tMF0 &5wX : k;l5mu7XX0֩ǻ{3aO4`}iO77znDd t0  # A 2^VGz'W9 :,Q`!2VGz'W9   xڭUMLSA+6 'ܥI"<kZJhI}&&/ L<p"DM<1L0lHNٷ%r_:ߛٙogvߔ@a#P(!LkyU#:Abp5Y/PV\WpGBHߊZ#&@)G/'PCQou]Dy**_JO+H$Lfc)0Y؇~s;ߺr+lQ&~\t>+MRX oDYc+*R)w3MAM/.*d-~ gx5+i+f*pz c2 ( 9]1. tmD~˞μJѾ+!g⽰7l1ofNҺ]洵nFn#ǿt6QZǠq*ȱCl^wkЙ#DtDF*v#iCf *E)w%8ɱј9*P#@םUPUcv/z4ԃs.=1 kܨ  A{ ]|^y`Uȍ["L҉8&rBlƨ`Yҍd,m;2p;VAzk/&I ja7 pіt}ˋZ.`cTL77s1$4v,eY1/3 Dd 0  # A 2TA$.HxU`!pTA$.Hb d>xڭSkAov7M7MZ~+HI`j1 êK $ݒ  ^C^'Gxn {`|3[밳>~CPl>dl6 : KTCm+)aƍ!9BB?'b,ԝf܀4_)^ZpS鷊2)3ȥEi\Lj+{L3g%(kvp}wL_i}+ygE;qb} 8vb3aS'qcNɆ>ń/T sN`$9rBkto9Qoh7jYqFy^V׫8êt:گ4y +!֛fhquzvD by2DrWi3LW7S0BRGzld@F"WgR-.#Y-Vۣͮ^"#3xž0y RbL~P;Nz/@ :F0}x۟SprK(;b@PDd l0  # A 2vsӤ-l.X`!vsӤ-l nxڭTkA6_v`7!(/h1F]H>JٓTAA*<ٿ'J؛fvJLQag͛7~o ) onȘ#1B8I+ii.zBTtHޣޝ .Bs5gd#LpȥRCAg5+ke0I+LԵ'*HDeM;]ߟ_x Fxc^CtmF){ 2D7c@An=S7a{a;NUap[ۧWvKD1eFSWlpk<N"?'Dd  0 - # A2?=R[,?9KC9~[`!=R[,?9KC9R@CxڭTKSQ~ٝzM$7dQ3IM{!L| "lS >D{I=}|>=~x&G!cBV*LtY>+ϫgi"tʩA+dp<d8pY!OPK/&0Pbjb+ml}+6zk}LDJzGZ:V[xKN.NzTH,Prjus6(NAW qXyRx:l~Pz\4z@* Vf+ n qCy9~\i+I֧n(4$qF<l 39gNeji {mT&E}M_OL`,JGcq= `nʣҳA8"Qoxn&F]iGƬqX#l4VZbQQ%.GUL M hH@F8*짿T@0$BZ8N-SWeE{iDӨ.QUTXjlX?5åiUuB >,5°y}_*U/mFqHX>;?|b^N2 g[9iBn)+Dd l0 . # A-2%Ӌ^Xn-e!KNA_`!Ӌ^Xn-e!KNYxڭUkA3fI[&LQhIj0 C%$)InQIoZxh<7 ~7ۦ̛73~o0:M`EIu.] 46YGl(5Hpl1*ʯVq\]* w#­=ʤM]h'Ĝ%5\Jʤ0up`0^}[$q52|XIƶ tMxX/DcF]@W1IU {I\Ȥ7RIR$Yμ_&32(fpYW`H-6;#'Aq[B/TوM v'<#Ʋ8ɁN&@=sdW0*tFk,͜l`! db~`!,͜l`! d `:xڭUMLA~o?O"[&@B p%#V`MK i<O^5\4ibL" G9@঳{[V^Xq9i0DBh4uϘY~^vY]>脆p f{L//ʳ,CnQ4d8&c6[a0c'l:Ԇ9䴂zC+ Jh/E^0Q(1EXFu,8y{Gͱ߸Q} B6P91?Ċ {XmQa_1tN鋴y~PY(gҞj XO3Ǯf/Y֡)Rk +NKBqne*v+y>neoxm.VJWc^c&'Sln$9J]vf& {}m"= l2=\Fp\]>9~A_"KTR;eNLy@FIT%",J=.Q|2s|ޢ[bV6M Qj?ɍ}SPɮn%Q(fɩgݕ; P; z'n~Qw\rax*_ o "ëE#O%@:Dd 0  # A2  N{Z^жQf~`! N{Z^жQ @PxڥTkQئlbԖK MӂMĨK$ݒlABTś7o"5ǢRУ%`_Ѵ=.ޛ̼7XpPB\fiK䴫.@_K>w(0M{^qQUee Fn Y6.{Z9rM3"sz1'қ H#l2q+\]?k+^Uhdlo6ȭ=\ǪYjE4FrPeފeU'oD̛z T?_,#?d\4*M_m~\bP:?n-"-]XxF$ȩLF~)U(L;i6[+bnBRZ_)嵒0Bd"J)g+z=\hj95ִuZ̢TҸ4#o2ꢨ@r:iLv*;m7A(>``YHTBIjҏIIE ?2ΰ"8&Uv {ӾaƯ$8_nQ}:[}Tt[Wmsv`whмYhE%C:~OFDd 00  # A2U jb"դ~|\=j~`!U jb"դ~|\ `H xڭUOAo[I? CmmL,&Bb (nBU-%xc0 zы7jz\L76md~, @ldZ Bj@ҹY末.B^w'HS!ְ@qR偉LnZ_Tgq|c,X?,XټZ ^U|fN6˽e AVh)f}ǝfᲣwXQZ55d;l & X,2KMV * IcgGg Kz=Hu :4 \F2M,zLiL͎' 7m9JV$LɊiӛMbI͋ gX7'l[I,\Dd 0  # A2RY.3\0i+&2m~`!RY.3\0i+&2:`zxڥTkAov7&n$JX&iЃbR=TH!I]z ^DA[p#ìU2c\;ʚ8bs߁lԛe81h".zdTQlP D#3`.<N܅ .G&.ͷqTp90.A8x,)y+HYL<~'*M|/*Y2VyI/1GGCb l/xufb]ߦ0`Zk1*L@-\(i {VdV9!.I @G5N8@'`l$=גB%7Cve0"ʧq5B@n0{e_ ro}IQL O`u%39乤Uza_&ꮪa􋣋AK- "Յ:wtf;$uvfZSl}G]ݺVHZ^^  m~) ]ˬFhӷ%{܂5˯3Z)-&x\L( {/{U_XsX3ޝSE#`č3F4KԜh*(E㨱T`_DuPlX4Dae$RxXEk=bxBG!Qx`@KYn`7doLGuSujXsK^Ke-]wgt \ N/wDd L 0  # A2ĮSD?/Rut`!ĮSD?/RupxڥTMhA~3ihoI@HHxXhDV1D]b x  J/Cn@EpJV0Y x-q:aEw+nPK2bjj`udYTӰ&eX-b#t0eX΃-;u|unw(4ضg ?srʭFX{JKT03p qZI%7Lj1wε.qN.Z;JA9pA}7 #|:c ~VXK `KX"ګ ث9|'X嶗ٰeSxƗESs 1@[#l +n`wnn(x9 As_u-$Kxo"DR/ϛ`FDd | 0  # A2AE>y<z{`!AE>y<z`h{xtxڵTKOQ}С|K5BidՐPJU n4XuRPHۍiJ" ntEğ?4`=LKjw7|>+P" 6'+#4B)n7)BL Fkf2Gns351F4#%~Ep{"48z? Ud=|Q/R1pSDn3?9p:o8`1SpiJ Tp3"\vy2vBeZUnjuwjc'RֺZxRov<?@ABDCEFHGIJKLNMOPRQSTUVWXZY\[_`abcdefghijklmnopqrstuvwxyz{|}~Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  5 logx "-3 logy ==03x() log3 "-5y() log5 ==0{ FMathType 4.0 Equation MathType EFEquation.DSMT49qN@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 22 5 or log 2ObjInfoEquation Native j_1088548085FC(/C(/Ole  5() 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObjiObjInfoEquation Native _1088548423FC(/C(/_A  2 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle CompObjiObjInfoEquation Native _A    27 log a b++  37 log a c"-  47 log a d"-  57 log a e FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088548477FC(/C(/Ole CompObjiObjInfo@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   5 9 3 81 FMathType 4.0 Equation MathTyEquation Native _1088548503FC(/C(/Ole CompObjipe EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  2 2  FMathType 4.0 Equation MathTyObjInfoEquation Native _1088548653FC(/C(/Ole CompObjiObjInfoEquation Native _1088548761FC(/C(/pe EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  3 FMathType 4.0 Equation MathTyOle CompObjiObjInfoEquation Native 0pe EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A    m 2 n 38 n_1088548818FC(/C(/Ole CompObjiObjInfo FMathType 4.0 Equation MathType EFEquation.DSMT49q1@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  log 2  1 a 59 Equation Native M_1088548876FC(/C(/Ole CompObji() FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_EObjInfoEquation Native _1088548904FC(/D(/Ole _A   log3log2 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%uCompObjiObjInfoEquation Native _1088549118FD(/D(/!APAE%B_AC_A %!AHA_D_E_E_A  H"1.584 FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%uOle CompObjiObjInfoEquation Native     #&'()*-012347:;<=>ADEFGHKNOPQRUXYZ[\_bcdefilmnopsvwxyz}!APAE%B_AC_A %!AHA_D_E_E_A  3  `1 log 2 3++1() ==2 log 6 3 ==3 log 6 2 FMathType 4.0 Equation MathTy_1088549153  FD(/D(/Ole CompObj  iObjInfo  pe EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A  3 log 6 2Equation Native  _1088549628FD(/D(/Ole CompObji FMathType 4.0 Equation MathType EFEquation.DSMT49q@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A   3 ObjInfoEquation Native _1088549353FD(/D(/Ole CompObjiObjInfoEquation Native m_1088582237FD(/D(/ FMathType 4.0 Equation MathType EFEquation.DSMT49qQ@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!%u!APAE%B_AC_A %!AHA_D_E_E_A   2,2  (),   4 3 2 ,"-3() FMathType 4.0 Equation MathType EFEquation.DSMT49q|S@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle !CompObj"iObjInfo$Equation Native %o_A  log 2 x++ log 2 xlog 2 3==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|S@6M6GXDSMT4WinAllBasicCodePages_10885822940FD(/D(/Ole +CompObj,iObjInfo .Equation Native /o_1088582444#FD(/D(/Ole 5CompObj"$6iTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   log 3 xlog 3 2++log 3 x==1 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfo%8Equation Native 9Y_1088582514!+(FD(/D(/Ole ?|=@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   logxlog2++ logxlog3==1CompObj')@iObjInfo*BEquation Native Cf_1088582585-F@$F(/@$F(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|J@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 x1++ 1log 2 3()==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|J@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle ICompObj,.JiObjInfo/LEquation Native Mf_A  log 3 x 1log 3 2++1()==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|F@6M6GXDSMT4WinAllBasicCodePages_1088582628&:2F@$F(/@$F(/Ole SCompObj13TiObjInfo4VEquation Native Wb_10885827247F@$F(/@$F(/Ole ]CompObj68^iTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  logx 1log2++ 1log3()==1 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfo9`Equation Native aU_10885827845?<F@$F(/@$F(/Ole g|9@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 x1++log 3 2()==1CompObj;=hiObjInfo>jEquation Native kU_1088583831AF@$F(/@$F(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|9@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 xlog 2 3++1()==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|?@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle qCompObj@BriObjInfoCtEquation Native u[_A  logx== 1 1log2++ 1log3 FMathType 4.0 Equation MathType EFEquation.DSMT49q|2@6M6GXDSMT4WinAllBasicCodePages_1088583880FF@$F(/@$F(/Ole {CompObjEG|iObjInfoH~Equation Native N_1088584377blKF@$F(/@$F(/Ole CompObjJLiTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 x== 11++log 3 2 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfoMEquation Native N_1088584057XSPF@$F(/@$F(/Ole |2@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 x== 1log 2 3++1CompObjOQiObjInfoREquation Native b_1088584132gUF@$F(/@$F(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|F@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  logx== log2"log3log3++log2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|U@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle CompObjTViObjInfoWEquation Native q_A  2 log 2 x ==2  11++log 3 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|S@6M6GXDSMT4WinAllBasicCodePages_1088583959ZFG(/G(/Ole CompObjY[iObjInfo\Equation Native o_1088584254NI_FG(/G(/Ole CompObj^`iTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 x== 1log 2 3++log 2 2 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfoaEquation Native H_1088584303dFG(/G(/Ole |,@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  logx== log2"log3log6CompObjceiObjInfofEquation Native __1088584201iFG(/G(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|C@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x==2  1log 3 3++log 3 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|'@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle CompObjhjiObjInfokEquation Native C_A  log 3 x== 1log 2 6 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePages_1088584474nFG(/G(/Ole CompObjmoiObjInfopEquation Native _1088584547]sFG(/G(/Ole CompObjrtiTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 6 2 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfouEquation Native i_1088584589xFG(/G(/Ole |M@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x==10 log2 ()  log3log6 FMathType 4.0 Equation MathTyCompObjwyiObjInfozEquation Native 3_1088584664v}FG(/G(/pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x==2  1log 3 6Ole CompObj|~iObjInfoEquation Native U FMathType 4.0 Equation MathType EFEquation.DSMT49q|9@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3 log 3 x ==3 log 6 2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|[@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_1088584745FG(/G(/Ole CompObjiObjInfoEquation Native w_1088584784{F1I(/1I(/Ole CompObji_A  x==2  log3log6 ==%2 log 6 3 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePages=461bѦ4i)m@"!=p1%^ x0&7o.i:oJq{曙vJ3 %D-˪v1;5-u]Hef p"R@=Rpz8v! 5c䖥G*tۤpU8Vq9,kůqcyt7uj?[&-tbH}'"$P`OG;@ce7 f( wXlqkU,}rzm/qy$yFGLpH0ԅ_ؤ?bOɧ{h$.sm.Ne$gci.S0JLGT:SSfg~Pei` 5~W tS9,!0686/9P|0#O! eY^bhʬcV ilϽLFMT`6zug nhMǯܓ]Awyuq~$$/N|,{Dd '0   # A  2Mo:ܹkL6@`!Mo:ܹkL6@`%:xڭUoAfhVV-j#K`4R-?қ$Pji$&61՘x?!{ӈovCh3o{y2)%;Jg̔o6t5u}JSA.FS8'i$n@}W?bduIQ")/H$}㟿E3j^1)>ȏDz2p ɛ*BP0Z5r_ۻ}W/c0^̿ :C]:ٜmL jIxYQum qЁd<-^C٫ J0o(<eص(lh"Hxe|SqCNZjRMzN_T؜g{wf~glvQho INoM1ou[RU:%p>?)GLV-e=̧K2rY#场,pYbI%ZYY`^冻1j YZТEms:MQ5dyIAZ mH$L:_ψi)ꕠ,I|-Oʵd8O$;J:! + ,"G>M3z9*1ILLǻD @]|nZKw2VԂ_Ն^tO#C+Dd $0   # A  2O:8yﯵL% +׆`!#:8yﯵL%  HD xڵUMhA~3d7bPVj4=QŦz6ꢁ)MkZHRO^ۋ'PPCI  SAf'صJ˼ޛ7ov@eV5_JH"\.1rTy4uTB3Y0Cdg.8dq'.D  p=t֙Մ[c壋c,7[ 5. g_21sf>p1IJ<@pmaOB+|E#mz}Q]UaxGCzp W5eNq:# Tg'lԩAv$b*T2qtB%DOҳù Y(lKp[*#dnR{TkQ 0ݠ^.ZeNx2 C>np f\흾φ2D䍫k~ -*|dKVdMXYONWVO -7؟A8om9v~[k ιֈ#:^y {mYk X_йD`AN]O rftK2g6|9,--E>~:UWJ{yז>opLbhSڰ:FI&qh6%QZEdzJco!ȃP|0s}ILIA n}JW [).ݽ@}PmڪmhaDPN/jx6º mܶҡxS^7L:W0ڦii;łqh˚%ך 7-S6)BP`^?yX!"k3Ѡ3o}O-T2 N|(玢cs81x~  \(aMb5})}ث!ns3z CYl@P?Eq$39eVw9cNqj Έ&z=dљ=a MMr5: ȉt\ԲtV5'k) ҭ^J G^Gs--_]5[\jn)JgME) `xR2?oK')OeVQ,+悑6Kuv*3yZ1c"xIQhzK3Mf { 4F[Yw P k"|45[F.@FIb[}+͐0I[d=ϻ4 7*٘C1cMŘ>n1fÄ?,noI)^4}k{O$3~<^ g_n 7Dd D 0  # A2㠫y!`!㠫y!2UxڥSKkQ>ޙ4&i}\hmkHAӖ&&:h iJ UD]7E6Bqս,% }$,ΜsoaO0/l&CYד*NhYx ]0=< O`נ,BIt໬'pU FPq5a݇[nB?U%:뛀@L|`wBrv-Sa,1 Dv_ab_[_sf5EPhTb*$NڿTkԚb٩FhR.l~c,c0g$:l^vTm8"kq,f1Xf;p쟓\Ld&N;V܈JBO~ At8`  c"BBt1$`I >joqJЭt;0zt2 QILVwʒRvQl~~C {Dd 0|0  # A2afq? :6i=/`!5fq? :6i`k0x]ROALɶ(ȮQ&SڥуUBKB mRlK8x0\ɳg4E쀄ɾo&9 ` =e"HF#hp)q.-]9z%c$afGE ̰FʼJt^U!p nQlأДxM rŁA+x }9Ol8yY> mO#%:+>h=mByq8wX{yG&L4mJ|ls͜ΣB4`~T-F;i⚓wBBm:eB"SNL29+~6ԟ {?$n~R9~HDd |h0 / # A/.2[7Q1`![7Q`@0|xmR;KAvPoD< Xl⩇#ypK%bK? `a)ւ:0~7;25pT!Gsv[y6rQCf*&#H=grGݬRf8S;=YO :e>xS^WL`&We[łyă=E?6G٤$FjuO2Dt_Îqۣhf29IgT]}/[VҩɝY$֦yd~NOBZ-9v-vnnT·pIkC"$dLsS~AjjcPCOL?KQl2g܁bbq\Mgȋ`\ww1FHfwŀDaICbb11,݃i7f$ TWu}ʷM^m\y}kPwKywf(FHdY݆?п- #Dd d0 & # A%2>m;bUmRO~`!m;bUmROZ^  xڭTOQ-&mAQHkH F!`RH%RԋUҤB5 j$Fŋ40ă'G?QMA:vb}73o7o@kgXZT:C2/X4 :C3T1 5+8F=k[`@O&QJr5gRQX4{n7_'Z~XSh,_=("9 "%8^WWy5j́13;nGZwɨȊOemNt6]J+>uGhp֎ˊADHh| 5vqt;kt8maqD9BY,{po\jՀ 2EҮlȾd;lql*do2`De=ym?o^UE6vj|^ҎZRlw; N@GLGϧoscA=CPԞ]ٙE<73NNI%@"7;=C=x—r9cKb83[ͅDrKuYCY(7}P|0#Ue  eP8*b`]hh*Jj#n{v]nS^l*{0ʨ:^H]PZJ*䧓YE ax.d䂶uvn)SDd t0  # A2AdVd!`0ґç~`!dVd!`0ґ   dxڥRoP='mC*;-?HEb?$@դ`HN]%L6ԥKX:L TR;{;aЇ8H"J-R$н2 {jy39f ux;\p9.Iy"h6)dLca*F̓h0zUq$y'ar_QvDd p,0   # A24M!Ѭ9J;]~`!M!Ѭ9J;]xmRKKQL4c`ÊAvJ)t:h 1!LB"?B.?Енf'4=fbxs7=HE'BH~PB 19ʮ&gg#o9Q+/.NEp<숯bУLQPF"V,Wݦz֧Z97Cj]^{+Dnm}o k\J,$E6Юn*RD7>ЩS>qhGAOnmB#|1 L|.+,dk61lQvx(_rZ ?\o7/Mmzl~ΟO3%B13K7cDkSJ_ڌ CH>5^ Nxm\d'h9Ye$O-[XWL:we--l4I.̕7挌Dd @ 0 ! # A 2>4&t/=@~`!4&t/=xڥTOA3Kۥq[["[ҚhRHH%PbbKBj=h[}^"v!23<<|1=dSD>kYˉtZFKIt PMƬO h3GQ ʭڋ*PE5W A(>Ȉ C_)<¸5Znc^1a6t>(=e&LT)p^g'/tBTV5:8u chL%Vp1?gIoSw/xtG&Dd 0 " # A!2@I@23.~`!I@23., dhxڝRMOQ= ̀3&4i6(K:J2808;Jk7.X. mҗys;.a~ pQ@ii%RbCaĖX{б@:# #cGk@#RWʲ -5ŗ@]פ@=cn:³`15b#2Hn{;Q{ܤG=WC"7pF}-Z;#E3lyC"r\6*QqVUej5uTrOm+*u|ZXļsEw Ue?_eɺ1$3`TW6we_~=M ^L? 4(^->2q)ia̕^)m CvOAG/:Ts˕7j^ow) 4OoT_Dd X0 # # A"2}嚍t1?>qJ̮iƳ~`!a}嚍t1?>qJ̮@C/xmR=oA}3糓>B؎(vDGdǑ?0H|@a% IDa&WPP"YWۘ(dusΛ!B@-S4" @'4{qϘt&hcuAD $am[dƈ<=oq@^W?]Bܤw1}#$路$o_ |1%i#*mGZ1ޥ_e+x+X,CzCsUӂvygfR+J*=CeZme+`'^ %(!M%i )z -M̝EMrggfww3V0Ѩ1DiUcYf}␓G !-\dIpLZ倦P| Bkx:JX1;cN+ϠКDʿAe8r%N27 YQβ#;Of5&E5w% :2TZlX 5O} ਊ~*fٲ,6־MƘ2ю_-R %B1xE׬bi|8~Z!(G[O`7ar 3ek?*$~P$q*mKa*IᶭUД m^b5pWZVR4뒣+-DUPO_ds6DoyPr<7#8ˣ6>*>wcc<`ܪ.-(ߠuϩ3'`[yԐ656j/z{C=Hszd|\ւёȠ)i5<\нՂH*Mi @1U$riX-<^K:O&^٘o@=A6f7.SwJ"k` ӕ vN¥qFhW ¥i<'g׹7M7MFYYՁ˘xmSH)XVPY-ߩ;q_Dd  0 J # A: 2 &ze>t`! &ze>t0 x}xڭOoQϊ٥hE%&jh JRDDh<"I 1icIoz1966А=i"@Uo޼? v/gl,1>,;;֝}.*j(/rĩO3;)%(el=!~OZֵffD:,f0'` l!!&:q%ͭ/b|H,ٌMx\W]& x#M99!6)NEaįǖoeb}ak]fc٥vgva>QmX3FBH[< c,pu.1~DN\&T.73-_hMK3 K}Q4 ~1WdۭFU sd((!E`0urѦ}͢u90gJ@W(KL84tE;9(:5"Y,Z+2|Mhsh"%Y@ϗF=tǰBfS{\HdO/d-ݟ®?zWQ >cwQ?WX.mK5A(>XJ%ժ̚^&{P=WpJi?{aޝqxktmM>kW?qbUoUO0<ۍꁫ=KK}%_!,Dd 00 L # A<2ϘnR-۫l\`!|ϘnR-۫l\߬ H`\JxڥSkAfv7M6MbAEb^р$z QL%IV+xPzCś7//JSEKA̛o{|oB* F3YOSid=,}[8YW0 JȘwsaR)<6L>H!Jnpr f?+<'8Yh>=(8wwwsܔoZkL;fu8Wܷ'm\n&ϒEPzjg+(b11q9ch(R,|~j5.G|tUe/ E 9|]eM4hG7POPKu}du`9Ot6G,{^a~YjB5t ~qzbV-v\cLӊfm&bj, &LO&&ΦsH\Wh)9WBQi|; K@q9h6JFE0N1R@Յķ;mEË|X/HkEKxv[g 9fͯF1'҃4]+V:Rx-KK¾+RdoFB?t:^!VejxaE&u>#%3HREދO^%טDp&W0 NjMm}82HFC\ ʫo-#V[CqG;Al,&l´h]ʌr:S$_޳vn)䌪}c 0☨y0POK#_;^[k}"^vy{69yysF&F3WU%l9w7U1ƲF"Eiē*.rFQF3zZ)eћQ|xZhѭ1ܓ`Ja-[OPQEj1k'FZaǁ1*A"-h8V\V_اæ<:/,Yi$dE] J]p;{&P|+F%^0ehSazzDd ` [0 N # A>2Oto&5Bsuf&R`!Oto&5Bsuf&`@SxڭTKkQ>5Nj}؉ŤnMҀbSuHISIESARE. Q"% *s6e3y|s=2o8m—3fIz=C:ώY aNetP~o @,+?dlsIP/`pq:xϻHF)#GnJ?x(jMjJ9#Mm_Z&!&N6W[3bsc rS&6WCb7~AKB4 Q/]O4bsӄA./{p a1,߮@BG +&~eo6qjX(}?ڏH۶ fE3=^S5_\LJ|x'U j `킂iЕ,Wj3Y%ݨWoZX>= a9}"1k~J_OP )\ӮXDK}\Z'!q `Q ŻcmAEko|[;}[Z̸F Q蓳4Mp&>[;v=4,0Z]-ӗaxd/[z熉f N oL]Dd P 40 O # A?21yt Ux= `!1yt Ux=  p{xڥTkP?&ؙtUcT:b;_ XŇUP .H"×IQp^|(A빹Mj0p!{>a %ᢄt5B;]')&A.{sW>Cxo-*"zT(:5³ȴ j}90|}(=i_4 <3rUkwtS3E85CO& d1D!iEAɲS[ ˰QiF@X)͗W6i!Cp&{93G!ݶ=KVWٓ axa.˷] vՋFEDd 0 P # A@2uzQd`)`!uzQd`@cxڝToA,Pْ`i4ebL%`4$%@pCLL㥞<{1G_АfXdg͛yoެV$ n^R$dU5qsJΏt|>H"-G?;b8S/@Iy?IQ=$;?^((r*'!ͩT۞iYxHNSF0t(3`ʾoOC} 511+hRtLo(/ӎܳu-~C@`{_RKpQ揉 Tbԍl|=<#ZCcAlq XcGwM}W~Y[5^-EWVn/-,/fcB!WS#s)fVfz)k7˼g1IתFq"z79u6`tBbsJfI S4u&#;:颤 ms"B6!$5HPT:mwG%5f l3R6ٮv̓vݦal796n;so0!Q rR5sr0lۃUq1:Dd  0 Q # AA2 M<>ACKljn`! M<>ACKlj`zXxڝToAfhYHZ*`M/Hxm,#A t 7Rc'^Lxcճуތ݅Hdg7o7"8v :g̶u1yޛ[ K.zr=rIP-qaYűDO-[j5I~Ng`AuanVflvfGx̱Ÿq۔ պ U}^^q[ C}wl,%yBJ,V'BglKbIJI#n]f'𨊝ST_U1Jw1FwXŜbSv-_ ,ʧ+ J,MdLTdK_D}Ǔ:b!A2':K1&G߅FF|f6ZD ONm\#k8މĻ D"nT(]fl]3_jhCD="+H9sU7Zl"b绝VA?k7}^]π Za- @Tg_,U62Z`bDAэ&kjؼLCZ`VRΥL@ĩs|3zi{Dxg혂_w> Szd*s蘿Cnf,%8-8NDd  0 S # AC2-@ކ5zҾjŋR`!-@ކ5zҾjŋR\ _lxڭTϏP"[[ &j jG ?ă(q!Am+)!&#kI酿f hZhEnV٨l쎵#2l({e PN_%`ܝHL5޲WAO#i9)r|!M#١ށȉ ULӿPʜԭn۽-יw[VW'V kt'֚z=Sf[kzR;sI|F!P{vsDoGKS9k:Eϥa V?S&)ei.Fv aQnX'>gʹrOZS8 *HPVxUIq:$%ϠpO2;Dd 0 U # AE2:UD)do`!:UD)do x`\YxڥTkQv7&qnZ?KIAE"H4hhRz .1dCٛTR/BO4s6ZJ2 NιlgʨZ`1nD[ h;m/W928.l"H(M[u4ntTxK2)n䌀W ғ8g5`i<0^kF  z B ^cIZ}p#g|i<6w|Dd 0 V # AF2!eGn%RktG1;tc?dU#VmXe6_DgSI\6wq ,ԞIvw1;;j;Jx#NmEB+^ihSѪo^H]3z%fBdVӥFe5?֖Jead bt;o+Z!lY/A|{Q bl'ޅ)0%c+]D)$gp+oꢨ@|ۘ5PX C?dž`WOԕq@Sb,gm ]TM̸38np{n.ظd̸RepTunv^Xwh@_/.wMF3 Li[ၫݖe/_JVDd ( 0 W # AG2-Y૚ͥ,UN`!-Y૚ͥ,U@1txڭTkA3M+DP|4h0)C4k $ْnr+ M`GGɜgx~"(}UIZ lXᄿaNʍэ7CUmbnZ}at(49tskb=@ eAo};8(c3pP}Sr0F\a̘ΦYYRT^/6)RAJ 3ksZCKedx_##ҠlFE8JZ*oxhglx3kFZ7sI|9s0:d\(^ a㰽aU3E\3`0[AISsb;cuqTVkXYmz2j!q`@Q Ƿ2UG%#/HO }S1TB1 & 7wf7c 48%2Rt{Fv hDʷ7{/M;N?9'.Dd 40 X # AH2/NY)&ƭ^2vLR֟1äK#MR9/mHyA x[uRnټTiyաy6M >=}Fx ~  WYPnm5_+0#3{WFxfRDd 0 Y # AI2nǠ@ JN`!nǠ@ JNV @pxڭTKkQ>$&b'B ͸ рiIW!C$$7'ԅ+ޅUuF@ fUxܙkz;y}@ [ &Ct4dn%dn\=J>&`$a HKsSDP<- ;'nP`'fiw2 W^+O#E.Oc>I腷^upΤU,Wt!74-uAa"$$B^%ͽL'8C0SLB^PG[[\6 n20V;CFyϱɔvꕒUFټ_cPG~R$?㟥 45M=_ "UWr!/qj zC5+ 7m"0A3%'hP,^êlqzZ :WQYeS`;(nv.# pDd 0 \ # AL2 جA,J9I`! جA,J9I 8>(+xڵTkAf6iJbAm@%MM҂SM{0F]c iJӒ< "^^{"xCbnjۀbqμ||{fm[)c l6uEv0t'%Bh3: dl]E9^Hgs&v$[['K$SrQtcDj:@OhS2y" 0`n{/~o֝Ci.oČV/Y_ &J/;H'S(ЄY *rht8ʇb9?Fs랖l#2Z\ܐC-,i.Tsj='vqXwNើrT:s:va6Q,&sƒT9˛5'7U^/AO:-=|38>xlbq뼵̒hi ^7 nV?ˎ[KCN JyZ,8*!EE–9; zJVQ.Ѳ4` _e;80>Q7FYlHHpNl( $cԆ+oZP;BgB~$GRB'gm֪K/ۻE.6[V,&ݽnKպ^&ނehwקE3NowRV&2]ѿLU$ ԿfsY,ji$hP2@O' OGJ\_0ol[.nQ#EZdR2} m[¿8ޗτ4Zoݫao90+x5" WǴDd 40 _ # AO!2 hQ/+v✟ObjInfoEquation Native +_1088584809F1I(/1I(/Ole      !"#$'*+,-.145678;>?@ABCFIJKLMNQTUVWZ]^_`abcdefgjmnopqtwxyz{|Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x==%2 log 6 3 FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObjiObjInfoEquation Native +_1088584961F1I(/1I(/|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x==%3 log 6 2 FMathType 4.0 Equation MathType EFEquation.DSMT49qOle  CompObjiObjInfoEquation Native U|9@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  a log b c ==c log b a_1088600360 F1I(/1I(/Ole CompObjiObjInfo FMathType 4.0 Equation MathType EFEquation.DSMT49q|<@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  Proof: Take the logEquation Native X_1088600056F1I(/1I(/Ole %CompObj&i a  of both sides: log a a log b c ==log a c log b a FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfo(Equation Native )c_1088600502F1I(/1I(/Ole /|G@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log b c==log b a"log a cCompObj0iObjInfo2Equation Native 3c_1088585095F1I(/1I(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|G@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log b a"log a c==log b c FMathType 4.0 Equation MathType EFEquation.DSMT49q|o@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle 9CompObj:iObjInfo<Equation Native =_A  !2 log 2 5++3 x2 () ==2 5 ==32 FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088585165qF1I(/1I(/Ole DCompObjEiObjInfoGEquation Native H_1088585249F J(/ J(/Ole OCompObjPi|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !5++3 x 2 ==32!3 x 2 ==27==3 3 !%x== 3  FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  6 log 3 xObjInfoREquation Native S_1088586052F J(/ J(/Ole X FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !6 loCompObjYiObjInfo[Equation Native \_1088585508F J(/ J(/g 3 x 2 "-7"6 log 3 x ++6==6 2log 3 x "-7"6 log 3 x ++6==6 log 3 x () 2 "-7"6 log 3 x ()++6==0Ole hCompObjiiObjInfokEquation Native lo FMathType 4.0 Equation MathType EFEquation.DSMT49q|S@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !u 2 "-7u++6==u"-6()u"-1()==0 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u_1088585680F J(/ J(/Ole rCompObjsiObjInfouEquation Native v_1088585943F J(/ J(/Ole }CompObj~i!APAE%B_AC_A %!AHA_D_E_E_A  !u==6==6 log 3 x ("u==1==6 log 3 x FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfoEquation Native _1088585977F J(/ J(/Ole |@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !log 3 x==1since 6==6 1 ()("log 3 x==0 since 1==6 0 () FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uCompObjiObjInfoEquation Native -_1088586508F J(/ J(/!APAE%B_AC_A %!AHA_D_E_E_A  !%x==3("%x==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesOle CompObjiObjInfoEquation Native Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x 2 ++6==5x!x 2 "-5x++6==(x"-3)(x"-2)==0!x==2,3 FMathType 4.0 Equation MathTy_1088586558F J(/>L(/Ole CompObjiObjInfope EFEquation.DSMT49q| @6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 x==0!x==1Equation Native '_1088586590F>L(/>L(/Ole CompObji FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !%x==1,2,3ObjInfoEquation Native _1088586785F>L(/>L(/Ole  FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x"-1CompObjiObjInfoEquation Native _1088588758F>L(/>L(/ log 3 x 2 "-2log x 9 ==(x"-1) 2 ==x"-1 2 FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObjiObjInfoEquation Native 5|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 x 2 "-2log x 9==2!2log 3 x"-2log x 3 2 ==2log 3 x"-4log x 3==2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_1088588733F>L(/>L(/Ole CompObjiObjInfoEquation Native _1088588869F>L(/>L(/Ole CompObji_A  !2log 3 x"-4 1log 3 x()==2!u"- 2u==1 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfoEquation Native _1088589007F>L(/>L(/Ole |@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !u 2 "-2==u!u 2 "-u"-2==u"-2()u++1()==0CompObjiObjInfoEquation Native *_1088589358F>L(/>L(/ FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !u==2,"-1!log 3 x==2("log 3 x=="-1!x==3 2 ("x==3 "-1 !%x==  13 ,9 FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObjiObjInfoEquation Native ?|#@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 x"-log 3 y   12 ==0!log 3 x==log 3 y   12 !x==y   12 !x 2 ==y FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_1088589510F>L(/>L(/Ole CompObjiObjInfoEquation Native 5_1088589609F`M(/`M(/Ole CompObji      !"#$'*+,-./014789<?@ABCFIJKLMNOPQRSTUVWXY\_`abcdefilmnopsvwxyz{|}_A  y()"-3y 2 ++44==0 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uObjInfoEquation Native _1088589771fF`M(/`M(/Ole !APAE%B_AC_A %!AHA_D_E_E_A  !0==3y 2 "-y"-44!3y++11()y"-4()==0!y==4, "-113 FMathType 4.0 Equation MathTyCompObjiObjInfoEquation Native _1088590459 F`M(/`M(/pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !x 2 ==y==4!x==2 but again x > 0. %x==2'" y==4 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uOle CompObj iObjInfo Equation Native !APAE%B_AC_A %!AHA_D_E_E_A  2 y ==8"2 x !2 y ==2 3 2 x ==2 x++3 !y==x++3 FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088590611F`M(/`M(/Ole %CompObj &iObjInfo(|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x x 2 "-x++3() 2 ++8x++1 ==1==x x 2 "-x 2 ++Equation Native )7_1088590219F`M(/`M(/Ole 2CompObj3i6x++3()++8x++1 ==x 2x"-8 ==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uObjInfo5Equation Native 6_1088590864F`M(/`M(/Ole :!APAE%B_AC_A %!AHA_D_E_E_A  `"0 FMathType 4.0 Equation MathType EFEquation.DSMT49q|?@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uCompObj;iObjInfo=Equation Native >[_1088593075 RF`M(/`M(/!APAE%B_AC_A %!AHA_D_E_E_A  !%4,7()1,4()"-1,2() FMathType 4.0 Equation MathType EFEquation.DSMT49qOle DCompObjEiObjInfoGEquation Native Hc|G@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log y x++log x y==2.5     Equation #2 gets us: y = 8/x. For equation #1, let u = log y x.xy==8         Equation #1: u + 1/u = 5/2 or 2u2 - 5u +2 = (2u-1)(u-2) = 0 or u =  , 2.{ FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u      !"#$%&'()*+,-./0123}5879:;<>?\@ABCDGEFHIJKLMNOPQRSTUVWXYZ[]^_`badcefghijklmnopqrstuvwxyz{~`! hQ/+v✟ XxڵTkA~of$ikn UDIJ<Cu)IJ*HR? "<w=$ԃ-7{|/3 vA = ь}#'M,ul3v/LC_>B:`A,T~/ZnTah#"\@Y}7\D][ܩ!.ܧqH"#X&7y;9G&gp{LK'(WLeިk06fQ;@.C%DjAY;}@C J!gЅ;<3_V>?_~?1xd_ [[*0t4}x+J 9Fd<`6{ mHIK+ŵX׊]-/h5F-Q٨ʨfqpg{'z~ܛ=E>o>YyEXBWMR._Aj2%I(Dlh?Y"fE  Gd-3FJ$q8M!4Սؿ݈pMMf k s+Z]++ <6݆W6Dd 0 ` # AP"2|YfcN*ć JO-`!|YfcN*ć JO@x TxڝSkQjI[xP$ L-&Ao1% $ݒ$PA zȱMD<'V ^c߾73;0(9xp 9cĸeYt]ww<$mT!BȈ~;Y0 NiO .zfo\H ~᳣WK;.v%6#vXĻBOY- Rj􎶥GFio6BD #a-yt}%@F}wǐ'ɕ6'˱I6e>sxAD/%|G8[fn* \PG]򸱛n63N5պA;_Tqz~%BI*=7syEL̛QBRD1^ޏ To^5_*ySfxۘ`37Gy0Q귞:̴`hy^20ɗ{%]:zxZ1t~1ō&xmװ`aB1<^jl-CgVڰ*IQ5Gx=n",A}5$j5_-XɨFy0N(ON!QW=)l9:$*eXr~v`W.Vhh-|~OcM?*VhPJNWkx4e'W;Bq1 Dd T0 b # AR$2Zn#se `!]Zn#s> h+xڭSOkAov76&-f#XQDh<[Lǰ.1tKZRzhcPބMv+E.;3o~fB@ FM  oXJD~i1DJ€e!dB3"XT蕆5|W8.IOuMlc\&뷘\gLsk3߸=knO5sr^*=!ofsPZm߀]~2}S1c2 bB9S~RZo#=Sόc,uEZL 3Ųjc%b9T,D6.xk\]%y[r FXE^_,lݒ5ewٴZ\aV OnyjnV,B~#o<ޚ.u#~Ic?(5e9p'P? NsY/i$(d S@fT[4ĥxA.a{.wmZKe$Z ڷ)P? gE[[o\$: \kL<|fv~%QċE1Dd d0 g # AV%2T=gCkFl0 `!(=gCkFl(>xtxڭUOOA3KK)%mA-  !^$P Fxm -tK^L/r+_CGoz Sߛnm;o޾͛y3ˠ@% r,F!Ge6j~AZj:#z-r6^)KK Pk@}1+^ +\5ZAـ1U}2& aM^ƚ2&nUIO4sE&&su1X4mmJ+\Ϊ2ښYYϥU}JpP!v j + DQ X#DUɎ+.FaE.2=;nr ]qA2Ԙ #I;KJ9y?]a{ieuGIU=/F,˕BR˃1w7qY@*JOq겎<2mVg BqRHPJK̲Q51Ef3ܓF²FRJO5lU&yF>Q%eo*fMl"*grzef`gcbڍk5 i̓R$JȪw]_ʯӮ -(S#FJتmqS6.Y)RTJ8k/K-"}"8v8xob)۬7̪X_m~ frߙ|9VȕDd L |0 i # AX'2p5 H8-N=Pcr`!jp5 H8-N=Pc`p08xڕS=l@ԍꤥ?ѤT T1I@"S'X!RR$dKRƈ) s. Y*Fv` ᝝!AO{w|)@A@rh<#1 <Ʀ(/(6{W.a @#=yvfFLH'ƶlzLΈ9w&UܷCbnlY}tP9:gϳ]%lV京ʵ!L1'<{̠[7󷿩u9VTTG'T3Y(|HSި#ILpV9VҤdcԦv3Cnnl!M2-`Qi+^.'Z[fѪ!M + kI{Zra5׫&fq: j,gwވ_MWܽDd_r]wZ.'n A+"VSsyn\q\YyAgτP_~X:h- hI@9$ ^u}W":3S{LV*MGcK䟣xxGPDd l0 @ # A0(2vsӤ-l`!vsӤ-l nxڭTkA6_v`7!(/h1F]H>JٓTAA*<ٿ'J؛fvJLQag͛7~o ) onȘ#1B8I+ii.zBTtHޣޝ .Bs5gd#LpȥRCAg5+ke0I+LԵ'*HDeM;]ߟ_x Fxc^CtmF){ 2D7c@An=S7a{a;NUap[ۧWvKD1eFSWlpk<N"?'钎Dd 0 A # A1)2 b6d5)-`!b6d5)-Y@2xڭTMlA~3 vĂچh"G~hF znn4@<51KC\G{@K̓h/ ٴ&&مZZmb]} PXXqPBLN#isnA\wROGOfݥgs$j;Z*4^H=Xcݮ 7+lt}Yg~t~-o)nXl>!W(,ˣ-Vg+Y}Dg5҈''&n榣|,SݍkԩLV-ڿGfckŜZNX&jAcA}V?,OFp>ciru[B h/GyH't. l j%l+Fl)c_Yt ccx;1 L4\V x"( c\07 ~v3غ1J5 VXDTV 8|Xl2hDd 80 B # A2*2yYyIcWYU`!MYyIcWYl@p/ xڝTKSQs__\VY%v9ZAs֨sM*AYD=E%|Hz-Iz 1zt}=N7h{|C13(!Z(4NKF8;aYw &(P`'2YepMFa 2uwhf" 0Y~jzE 8Mz-&'jrM9*knґB[(So"B#ǘ Z-2|$Mz%7.*k\_f& bU[T %:'P- [ƅ6mPY#*Fͤݤ R?!үs(&=)D<2T36OS C6{*j3gPN ^eF,b.S3"G^D#sl>S|>+g|DZ2LXT说ͼqCCR*Ӻ_Hxhb R=HVY?IiK~}capuɰu.~A⮽F[h(r'ܷUd,:e&#P fD!W9;@-0"#]ٳ"EYDžp`y D0 +0̻Da6hCqGRxv:j5bZFo.8vp6`f)) ˰~ԃmDu-? \زE$wSxc $qxᡖg4AkZJ̯*dDd  0 C # A3+2?=R[,?9KC9!`!=R[,?9KC9R@CxڭTKSQ~ٝzM$7dQ3IM{!L| "lS >D{I=}|>=~x&G!cBV*LtY>+ϫgi"tʩA+dp<d8pY!OPK/&0Pbjb+ml}+6zk}LDJzGZ:V[xKN.NzTH,Prjus6(NAW qXyRx:l~Pz\4z@* Vf+ n qCy9~\i+I֧n(4$qF<l 39gNeji {mT&E}M_OL`,JGcq= `nʣҳA8"Qoxn&F]iGƬqX#l4VZbQQ%.GUL M hH@F8*짿T@0$BZ8N-SWeE{iDӨ.QUTXjlX?5åiUuB >,5°y}_*U/mFqHX>;?|b^N2 g[9iBn)+Dd 0 D # A4,2O ҁ*tl|4V+M%`!# ҁ*tl|4V`PhxڝSOOQ۶Hd[@D!kƃL[x@luMmeI[ po<&sH7yo{ͼ%LON OIE GťE_|Ͳ"c F Xb2bTF|x6LzBJs✮Kw;)&4vزiap]f27kfDXM$ (MOVU\0*N;u|Єh$U!.S6˥[`cc/8y\p;Vn#^suUpZ %J,m/ Os;ss,_c) am&تglR۬}41|x85(IbxU\J:8tvWZƳ yՏzt_y 5@SJ ;vSjI8 gw7-k9;Dd t"0 E # A5-2x"e8& T (`!L"e8&  7 uUdxڵVMhA~3lHSnB)RSI6M V[ F i iJV*HPjk^A/<XO="^PJ6bhFWyRZP,09hXS^S:G$ksfa` jny7_35:peo;Bր:Fzk0߇;C@Xr~j {Kp73~|eg#\*Ippp}ߧ_%XԞwlDd 0 F # A6.2օn-:j=:,`!օn-:j=:ܖx$xtxڝTAkAfvݤQ6) %IP4I "VI.ijs RxQx"SP=J؛f7I5Fvv|}7; MkZ7 ˺N61'o;Hֹ> #hgA'F{귽Kra.S|_3Y~7d%w'4C]<-R>IȄɛ! عopZı1?os:tDz:","Xl(e|.TTl9uhm;OMNy#KUww5 R?({!W]u_*e(_;_?Q%sX9k57it-AC}'P57?IϚi.F85F%XU. Ṉ"*-zƂ4&hfQ#Y{n/aQq ]]~qc<)jpxێU]ֺU!`Ǻ!IXR(91SS|S[ڇ@|y$k% onȘ1vw]t0 {arL=ТYd,\YY|<r~`?}SFk}aA %}[~}Z-IE  Rْٗ>-;ENx<=/D>;|+FGcWdp"G6}q]"c#԰0?0#6"*ڞE7ƫFd8ojW5Aϴ!vf&yT2}`Aa5Z,r“T_ |mAwܨ zOBЕL+F1˪|s3fz4]!3a^1wbYrLgF S TkN;_.f&( 4X `1I*W뭺YVB(Rm~xFl>k,Dd 0 H # A802<6\\O4Jp=z2`!6\\O4Jp=z%`Ȅ::xڭUKoQ>@bhء h Mmˊ8*Eҍ肅\JfW#3ãbk:pϜ{}{20i^lxVӼD=PAQ'h2 ʃ2ϲB4p;^S^iY̔ى]J!=[KCa NF\,xAƊ`cΕrKNr1Yʹo]_ڏPGLu|:ل]Ǩhb2S%/_U \&41ErmGPZ22"1& tn֗Oeo.'}-G9)@BcC;W_)Q&0^t ElM#@`+X23&oLeV(.SS;@4cT6NT2L&f< څ:7![O)4v1#Ņ8UW'O'5+lRo~uՂ10*]V+?93>Q Ea/ahZP* :iZΑS#9<,0Ñk`>A})O&E&K&IF!#rI(Lޚh{` /yzuNemgO:/\ѢzA{1@_P2Zp3V}6'Qh_O%@*Dd 0 I # A912n7.Nt6`!zn7.Nt @CHxڕoAƟJkZ?R[~45H `Ԧ@FI4@HLģ5j'݆Ijj=8av~~ (q=U9 k =cԥi 1~Ocm  pf=~оsps˅_dٛX/K {Į#?^iXv'۵]/dQ+bAe^;i:txTLҟ,DgJ!_4qFjpk֩IWVW۱g-Ar<_rOΕ7D"n]0ҏs.Ӯ7 Јx[oJmx:47Dd l0 k # AZ22%Ӌ^Xn-e!KN9`!Ӌ^Xn-e!KNYxڭUkA3fI[&LQhIj0 C%$)InQIoZxh<7 ~7ۦ̛73~o0:M`EIu.] 46YGl(5Hpl1*ʯVq\]* w#­=ʤM]h'Ĝ%5\Jʤ0up`0^}[$q52|XIƶ tMxX/DcF]@W1IU {I\Ȥ7RIR$Yμ_&32(fpYW`H-6;#'Aq[B/TوM v'<#Ʋ8ɁN&@=sdW0*tFk4s~Sߕ)i_WWrԑTHR5:&9n^6ws|ZX?.D js/͍̍Ki^FMbQNuIzIUl#iHI~@8s{Hd ݱ4+<"K5)u$(O?VDd |0 m # A\42|m&3FSX@`!Pm&3FS `0xڝSkAfv7ͶjQ쮠AI@4hiR[Mnk"z/"zDc(7f ξ7߼70 H_1Xc|8FMv>ƒ|l Iб0F)Bh@3 -ȡXkMq.!8KAsKc%ܓ>yLyVj "'*mMW{ {\8]$!s /bճ+r.q{ǵ9Bx+ Z7펹jbY[l@y\#AkRkH&/0G~RWy'zX#¤Fiмj&tH+WChbދ:'߹J4R*oP3F֩?ȵkGv1d1rvnCw5L#dݱˣsig9cXG5Z3p΢9ZF 曑NE-笳CJ5/cDqLT:'앵'8j/RKi;9A˪w,_;mE~ܾDqJEs4t\= yƷ d{^(?hDd 0 j # AY62^"Ҭ?3:F`!2"Ҭ?3d `P&:xڭUMLSAmKym D^ITzC p%R`MK -i/ xxOތ$MxP"N7Csjb.L3M}2>ggoBB_MԱ|v!~p.`2mğ6CO1bT8(yQ2t^# .m^^Y\BInz`A+t_t+ U~"e4o ow01P7wNXJ@+{}%WJ,cQ+XgDap7,Idhqw0-,w&awq^. CMK(SJ7J"HGZgdg=ѭP4m>?>ؚ;ClOSk/.NP%K2rX窅 :˫UpKv RB[ Z% :/t]brw汍4x˙@y8cl ?& Ĝ!re\+gD3&:>FޡI2[e 4SD![[Ib;?f/5)~q+M.u}߷_ҍjM-/`)ob CDd [0 < # A,82;-6 BX$p5N`!-6 BX$p@`>*SxڭTOA3[me[PA!K-\I(H&-%fBh@M4 ѫ/ zC +D潙y B\a I9cxR쐣 r/Ǥzh 9¨YA97D9x`05}%YTGW [E:?2I(i{7pۺ$,I(}+m%f#C8ynrLՕIeb2-{]L6?pѳ*%(k 6*{c"ԐɍwŢ 1WŊb UY>$>/۾Llmb0YW7ߝU0pYVYc2\^eAѿ.yYoж/wtwָyS ly(~B5e$J@` DZ`T!ꢁ)MC ^" TD<XTgHO1M4$&V[:μy^aP6$)!.EhyrhS~1B`9H`{ -Z0Y~*/Z܊٣ꧧ?˜l&:[C)H\Ln6?@D2c#eWf{"xf|yۄ0`Ԃw0:dWGDco 欂v*i7`6M[q ĎҎDiHo-8 T&EڍG_cOz$]h>W"l!i݈FU&Z]+;m{Fmn1م|"SMY3VRw_JKYk /NK@~CWՃ]v:>k)H#*I\Cڻ<UULOlŕ^ "`Y1m:"21>&P5YVP6(D/8zU"]*0**MOcrWp:Dc|Wx\XrNux _<Nl{R Dd dD0 > # A.:2 ɰIJouU`!g ɰIJ80aK5xڵU_HSQ9{feɶC> ܦTJsZ5l9qW@衠_"aH0"G ^) ^ Z߹gwiHI{|1ЃR-JM:Y[4iB 2*+خxF]YXFdf2 &D?nuعH?n.5ttIY:%t/3!q,0!5<+E \Ɔ 1yT*dقOKP%"Exy!8/S h )m؜)H8$aa}p;S-d1WX WX˖f 8XM&cX)Y8g;p&+Wz:#N'п?0݁YEKk![nZ}z+4j YܣƄ3Ϥ!fu;j=j#f\`I޶K^tbxH"*x<:,r;Ϋm׋mU5pڇg2xI&dpMʩaoSDd 0 ? # A/;2  N{Z^жQY`! N{Z^жQ @PxڥTkQئlbԖK MӂMĨK$ݒlABTś7o"5ǢRУ%`_Ѵ=.ޛ̼7XpPB\fiK䴫.@_K>w(0M{^qQUee Fn Y6.{Z9rM3"sz1'қ H#l2q+\]?k+^Uhdlo6ȭ=\ǪYjE4FrPeފeU'oD̛z T?_,#?d\4*M_m~\bP:?n-"-]XxF$ȩLF~)U(L;i6[+bnBRZ_)嵒0Bd"J)g+z=\hj95ִuZ̢TҸ4#o2ꢨ@r:iLv*;m7A(>``YHTBIjҏIIE ?2ΰ"8&Uv {ӾaƯ$8_nQ}:[}Tt[Wmsv`whмYhE%C:~OFDd ,0 / # A<2=, g7yG]`!, g7yG)@xtxڭTAOA~3¶-(T݅AS 7 ؤKo !bM>kS\,bf{b4G~n%A0ya7roŏ&@'80@Wh hl5 `ub-(kkw?i+LdB/UqDsAHW=r\T5ǷMI ߜp0n?>cnAz~[!lΒnoz;m}nвqטʴRc jop {ֶ9T[ ΩFsÅAGv/0ZM^ 5;,S,Dd 0 0 # A =2ҥc^h 4"b``!|ҥc^h 4"b~  &xtJxڝTkAfvM&U+j7jC4)$ x0Z!ꢁ IJ[@("HAzQ$_Q@ {n̛o޼Y?<!DP猹PJآH/O8IqC /BIFЉDyU&ДV~ 'A F lƮ掻Kԍ.JiSDHjǀUU>gcԧ}mؘ>xL!*UfxlvFp)ssn9&q̍9J%=euMs ƣD-kA̧ͪE(b'VjC)[a2RyXрtVxL. d`!&yXрtVxLZ`(Ж>xtxڝTOAfA$B WFJ! X&ф/!䁘p3@ 'S/fOov(2ٙy}2 %fZW*gǪ~ įx(hGE:'!diՀDf8f5:J;YrdpW3( j6 o 2|M!h uؼVLѳ#Fo>_}vĩpC{gSEb,"Mx*̹GL:1z9s>a^q??K Ũ(`xJdPiޭ0[DreCV.=xAɼno+Zj/B3.'!}Ό;;1̒ph|$s0NO&rkXF2yw%\ee沩dV~4wghsɣt[ˍڬxNDhBVOKSd9MӲ0*ԣmSCSê|J"1NJŨ Z%T:C*Ǣ_D "9Qҝ o'N0xG^95v$kBugaĪ ?W.jqÍfJ9qHC4_x1OdAFA_/jZh (+Dd 0 2 # A"?2,GO_[wk ̫g`!GO_[wk ̫& ;xڝTKQ7M4j[D7~cz(.6/LBv/%E[(Jk= O^Jcԯt~J/y37;;,6aD8|11l6a{( h_>h 1uoiOD>GsfңQ/dr$3;zoB.|6\$r6 ν9put:\m};+`*Պ"jzr]`܉ƌ0jǞhSqK;%Y]Q9Y9&+P#=&OzБ ;[}<_%U"H^ " uAMQjʮrUq㢰jK Uؙ=NҧgRq{\"TCmV]ъAHp jZ[F3)yZ/ iqin)rڟ%s27'$ƀ .B-$Ҵ Q{Ң&1zniH aM'1zPh 7⿺8 xby"2KMV * IcgGg Kz=Hu :4 \F2M,zLiL͎' 7m9JV$LɊiӛMbI͋ gX7'l[I,XDd 0 4 # A$A2A=\w_z*o`!A=\w_z* .@CvxڝTkA3IM&Ub"ADрŤ`Ҕ$% xzV%M2|$Pbd9#^].6tC!XM yNN$yYaU2FqTZ \i܃* "t̍r g1V^t?p ggҟӥ`2]Yί Z?KkVc~C#Y(2sOg^-0.,Lw (QLF"OLJ:d4U|`^6h[ȥLE/ D;5l+Gl9(lTktBqCnrܹN!l=t8.Zہ=\qd\"V(SE؏!lTizȯrTff7͟33g)Ϩ-7# p\^ C348&bwtY^[E9} 䵑Y,_.묀:*P+^5ԟ' Pl<9Ps$ =Jbhbz׬uxԫqӅ8٠p|zS5CoD7 !!z|4JB1N.&7-v#0֦V8ީw8̌3/KQOIwd#Q8u?` 8Dd ,0 6 # A&C2.4q|p1v`!.4q|p1xmRM/Q=ɴ-Œ i"Z&J2?Dba)"y;uJygw;C[`Z11^d}Λu!.yѠe1sGU_\WBڪf6S*mRKɏ g?upTgE1lX-=t'!Z݃+T6AS$ƪG fR;S-n pgL?gr\&:{B!a9di^vlo_wH Y:(?5R(ZeS֢@t`|r"%FY"G(')ՆFIgr)!bq j#>(51|qn(gͰj-V6:(48mLb-ĽۜXT_6 zDd t 0 7 # A'D2q0-Z=`8y`!q0-Z=` `q:xڝTMLAvZٖ_5$($H/FJ!(H` U7ڄRҖ&b`L/H8DLxӋx@"B}3[A+Lvf~Y0UűVTuN9`Ǚ \ך:Ў Ç!dq:専Mx)?&fv=gd݀HŪ!4YΡ8H'5Y줩o+IGlR y )ٹ z|?kVW}1r:Wv @:v{N_ۉ:u??ZeWYٱ`Fv\k36m53c{ r rәm-{v@BΘy},LjjZZxt?Oq Ls.q7v 5bתc:2RWss*͝xšQ#NN'Rd9c<̝|dv16sG=>rKv|h-Z-Zd#1N{ֈm ͒Ғ;Wej6kӳó#xZPB()RH)TRywvvfvg~318opHs,p:[[[Kcae?7VEt_NC d/q.Ƈ;V0Ul3lQF8q;8;~/&y!^[|qn)Vo]Y:4R-Le%,WĠ)Jv!Ƅp%ZDס?15jlEr+G85g{zO+\qvJօeFDn  ┌2kE #'iM6k,} }5j3&%3"&ٴ)Z<&-ױU0.1ERd L'r0F a)F;_WT/Ku|4ηf~߯z+\Na^"P<'޺cK/p Lmml"ۛSDyڎb#/3 ΢``5+ _1088591453 *"F`M(/`M(/Ole ZCompObj!#[iObjInfo$]Equation Native ^_1088591535'F`M(/LO(/Ole gCompObj&(hi!APAE%B_AC_A %!AHA_D_E_E_A  u==2==log y x== logxlogyand recall y==8/x()!2== logxlog8"-logx FMathType 4.0 Equation MathType EFEquation.DSMT49q|*@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !2log8"-logx()==logObjInfo)jEquation Native kF_1088591681%4,FLO(/LO(/Ole qx FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObj+-riObjInfo.tEquation Native u;_10885917351FLO(/LO(/_A  u== 12==log y x== logxlogyand recall y==8/x()! 12== logxlog8"-logx FMathType 4.0 Equation MathTyOle ~CompObj02iObjInfo3Equation Native 3pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !log8"-logx==2logx_1088591828/>6FLO(/LO(/Ole CompObj57iObjInfo8 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %4,2(),2,4()Equation Native 2_1088600826;FLO(/LO(/Ole CompObj:<i FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x y ObjInfo=Equation Native _1088592770@FLO(/LO(/Ole ==2Equation #2: 2 y 2 "x y 2 ==2 y 2 x y () y  notice Equation #1: x y ==2, so 2x() y 2 ==64   Equation #2 is now:2 y 2 2() y ==64==2 6  !y 2 ++y"-6==y++3()y"-2()==0{ FMathType 4.0 Equation MathType EFEquation.DSMT49q|5@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !x 2 =CompObj?AiObjInfoBEquation Native Q_1088593251EFLO(/LO(/=2!% 2,2  () FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uOle CompObjDFiObjInfoGEquation Native !APAE%B_AC_A %!AHA_D_E_E_A  !x "-3 ==2!%   123 ,"-3() or    4 3 2 ,"-3() FMathType 4.0 Equation MathTy_1088593451CMJFLO(/LO(/Ole CompObjIKiObjInfoLpe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log y x==log x y== 1log y x!lEquation Native _1088593480OFLO(/LO(/Ole CompObjNPiog y x() 2 ==1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uObjInfoQEquation Native _1088593618H\TFLO(/LO(/Ole !APAE%B_AC_A %!AHA_D_E_E_A  `"1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uCompObjSUiObjInfoVEquation Native _1088593985YFLO(/LO(/!APAE%B_AC_A %!AHA_D_E_E_A  log y x==1!(i)y 1 ==x("(ii)y "-1 ==x FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObjXZiObjInfo[Equation Native |v@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !3log 2 x==3!log 2 x==1!x==2 and y==2_1088594021Wa^FP(/P(/Ole CompObj]_iObjInfo` FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %2,2(Equation Native  _1088594096cF@YR(/@YR(/Ole CompObjbdi) FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EObjInfoeEquation Native _1088594110hFP(/P(/Ole _A  ! FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObjgiiObjInfojEquation Native _1088594146mFP(/P(/  "%&'()*+,-034567:=>?BEFGHIJKNQRSVYZ[\]`cdefilmnoruvwxy|_A  ! FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EOle CompObjlniObjInfooEquation Native _A  %8,1/8() FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u_1088594405kurFP(/P(/Ole  CompObjqs iObjInfot Equation Native _1088594541wFP(/P(/Ole CompObjvxi!APAE%B_AC_A %!AHA_D_E_E_A  log 4  x  ++log 4  x++4  ==  54 !log 4  x 2 ++4x  ==  54 FMathType 4.0 Equation MathType EFEquation.DSMT49q|Z@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !  12 log 4 x 2 ++4x()==  54ObjInfoyEquation Native v_1088594619p|FP(/P(/Ole   FMathType 4.0 Equation MathType EFEquation.DSMT49q|3@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !log 4CompObj{}!iObjInfo~#Equation Native $O_1088594659FP(/P(/ x 2 ++4x()==  52 !4   52 ==x 2 ++4x!x 2 ++4x"-32==x++8()x"-4()==0 FMathType 4.0 Equation MathTyOle .CompObj/iObjInfo1Equation Native 2dpe EFEquation.DSMT49q|H@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x`""-8, so that leaves %x==4_1088594787F@YR(/@YR(/Ole 8CompObj9iObjInfo; FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  `"1Equation Native <_1088595208F@YR(/@YR(/Ole @CompObjAi FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x   1ObjInfoCEquation Native D_1088595298zF@YR(/@YR(/Ole L2 ==x++2!x==x 2 ++4x++4!x 2 ++3x++4==...wait! f FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObjMiObjInfoOEquation Native P_1088595452FS(/S(/|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %x==2 FMathType 4.0 Equation MathType EFEquation.DSMT49qOle TCompObjUiObjInfoWEquation Native XI|-@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 5  x++5  ++ x  () FMathType 4.0 Equation MathTy_1088595489FS(/S(/Ole ^CompObj_iObjInfoape EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   x++5  ++ x Equation Native b_1088595593FS(/S(/Ole gCompObjhi FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   x++5  ==5"- x ObjInfojEquation Native k_1088595729FS(/S(/Ole p FMathType 4.0 Equation MathType EFEquation.DSMT49q|b@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x++5==25CompObjqiObjInfosEquation Native t~_1088596086FS(/S(/"-10 x  ++x!10 x  ==20!%x==4 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u pfG`x6xx4~dnx9oirhS⋍(@ieIo Oϝ+xE`faF55lj%!W+Z%RBq|Qs1Xݶl]p$kY$Wn@HHH9j["b pvB\Y#&&Ry]iȈUw%`p)A&DBqZGJT+ݦ:$t5{8 _T +m0݂F`R}#a2xEJo[)qM{v|S}K OnuwiM"Dd |0 9 # A)F2#)#ww`!o#)#w`*XA`\=xڵUOQ-t~| -bHLʇR7& -MwbL F 'b̓4x^4Xgv[5*}y3{3o;I'g15k.ȪW39ormNh<) \( YЪU uI&H? `T{?ç\qu86Ww9g+r֡]c 8ȝXRC(P)67qJ)>qE"hf][U8^7׾?at{$.`*w軞 7 障n"(*&k9qm8ñE|S+Dӂov!^0 `8, ?fFK'g^^Y]Z, D3\xZYIBGϘ9)Qix&EyTE8J1$IEU6*Ԭ?E*[cer'swM3~`b!R:Kأg33J!NO\ Ep0-SE9n\¾֑X2nd@SApQ(Dd @ 0 : # A*G2A !ǎf`!xA !ǎf@FxڕSkQlU-)A@4(b.1dC&xx9⭇?ƙG%μΛ{@% ?*bd 9 8?¼r]LgdFy D0 \? 1 ABr /s&mҺ={;{TlAvx6IVÊӶRԎ;P Y !F1:/@2yu@Pɽ6# >VLKp:V|q|dׯ_E ف;Z2SN?M4QE F3٬?tźCZ-݂lbJ-{ ._ .@\Մ|^McJ~CŅN9ҙ :~?/nA+.>T#r\V"s܀ &0OMgu(xHCB4p>xxi(&MR8=d{i<3%d{mŠJO%It\O?eU3 e䳢8pXn?O|-H>U<ņԴD_=7`)ށVݗƢHF>eTM߾~)oǦcj; & Ȕe~:هk'=z>5%e܈@{V?#~t{GNa1n*)ڳ.Q'd9N8 2#1AС.?;MĆ0z ByC!%1BB&'D,!NrDa<7r_CVdr7,9E 濙eep.m0s؁Vկ%&q !%.xڮa/YI},Dd c h0 p # A_I2lgy9H&`!@gy9f@|xڕRkAl65j[!"C.|4h1)ӭ.1ɖ$e[ EzZ?Ճg)a/"L7*{>ޛǐw 8X*g,L&R.Ey>Km,t=c 8 h.i:' lW=.| |C}&Qoݞu ~b8X&>--Cދije3TႿWT&H"'f!3O(H(m00Q8>&Pj!("SF(DWH9:}M;fHoV:E+9֣]wn:[D9jܮ0ŒUVe:H}WNjT^+uEZWjdebeX#M wtGˍF%'5qZFU*}ըEg/Cw=2h<',_a#ONYeƟs)?20'oSV+aMr@ı%`vx/Dd 0 q # A`J2~#EQl? .`!~#EQl? .@ `PV:MxڕSMoA~f($ m5,MZK!\M(~E#nJ4x2&8y/={`Ґ=;ԏj:|@.?mΘF .w{za~GB3:c$@}39 jQum x=.,̟A<8"~n^Ĕ+=e,69DF,Xb۟m3%7a+G<8a$:SE5fx\As,7sL|q8_aN.C d.fiuVϸjֶp|.|\q.S xî2);̛˂Vf]7Z~غomXDFnbk]%iu5'/ (`4 xڭX]LU>w.`[fV@ѢkaLB!+uv2VhMRm Dc46j}h@ QD}!93;wݲݝ3{wLA%x@Xd677 E֘UqjaաOq.$gP%ԯ^p$pLчQJ'V/4_ޅڿ­4$G{IHaDq;גxK&@B{'z##М`thͱRCj!/΁ܱqF;Pꙉ(M džX, qxgwW< q<9P <y|_ byLC & 1qV0؊G5IӴqY2ϔzaLvɥ!cƧrɇQT511nJssd <*6<5HUW5MD1wyPa+W4H2 pqW1kv1x 9u@i2^o:w-;\|#׫KSCqb_MѺ^" 731]N>RXĥ,?^-&AW+5k%ɖc(ap-źZ O9,U>Jr\l3{'VZLd[IfBiX>.Egik..˫B]ު9ټ^NxdoPt*;x {Ӌ1,H?;wca]ަJ7${7 Hd05}jt^kdtf:FóBm뵩Ts!5ڛGmY~݉6:z6uMC)`V3&1kNR(YjJWuJ WKc)3$$$B$$"$T$h- fQ6 i",bۢ]7&T|)`Іvȕ4 S֝'~?c8E#A~VOMh{9Z;WC|Ķ\&ؖ6 OE;K.z.epa4ZiF6fhﱍ/Mx,2gзoV Q[4Gy2yz3 K/}ג'hwDd  0  # AjL2S:(gwx`icL[8/`!':(gwx`icL[8  pdxڭTMhA~3MMZ6+V? ^*MŤxKPMS4 DiP4jg͋>_ш5} ೶Icֺ-l.D)WhՂ;vYB|$xO4\kR oq9pR*@@k@G Z'NDukMßrveI0x]"L -6'P#{l ,DKYߥDw9BX"@ kQ/vSL xOlRx&;Ow]s Pɟ&BaRV?8${Hb5LAUq7aǠr0O @)pSxU 3HEy{߆.Zt=W/Vuʊ{Uk#<g)m8߻k_Dd |0  # AkM2c#*iSQ?՜`!7#*iSQZ ``(PxڵV_hGff.{d/ &+]-%br9IDL.\D.Ԩ(Z(1-K((V_,RC@QHXPlM/4Z7~~p(!m!Y#muG,GѫZsgB-ӈfVbl^hK|ݙJB Z_b !BDt~Jv⨜V D~C/w?},Qui=.YC "a/PI 04樥.-i`6=Zm6z`m~D*6I\G#7Л4Lԏ+7뱙ӷr= DUo9j= Sc{ٿ8jQ@}Er~o"tl~~0#mc{fUAb,RzzNG9h*^U2hLUB.Wl+dq8oT8!$l=Z.TR?)WYȱu8["f^$ODo 5lJeAxpJV0Y x-q:aEw+nPK2bjj`udYTӰ&eX-b#t0eX΃-;u|unw(4ضg ?srʭFX{JKT03p qZI%7Lj1wε.1Htw85+cqMB-U݌qK ޏ-Qxɻ.nB8K}rq 6^"^8'ydU!#FȰQTVm|O[.[뙛L ^])Dd |0 t # AbP2zFHAɯ `!zFHAɯ `0HxmRJA=3y&7bcg^ bTL2h /5v~!X3XZ!l'L6 e{3s]> "|8c.bnKF].uA^gupderҶL[-" {VExlIl]]xګG tpX^#W)dn9ΰ\o^[Tf|>fXx1NL ao_a{/^:̊7ђՊ~ۺ:i;gΠ7';pδs qJIA ;7ďe٤#dq j#H 5{y0q$LQ̚aSzۣ?Hm*]fA)qݙ$EݏXNUq/AnwDd h0 u # AcQ2~0UEs`!~0UEs$@(xڭTMhQ&i7lZZM jTL@Ӵj1).u!ijӒAB"^*E=BRsPa~qק7}?%I ]Xb[WsHd"WgƜK cy+]mLg2B*Btii4"Bd6i4MR/3+,)Q_ ୢ.A1d>ۻ& 'x*0+Qݍ2沑5ˣ^~~9ZZ̊8OjFbP>G7 k:  /ÊY3V$E% ho:*aA.YSS%aQcEaTzz*ñ9[y:oĖ%3EC7uj,ʱ!pfèN5b+-6Êó'&}kwj>hVkfA|3!_\G_d:_Dd 0 w # AeS2w.j,amU^J`!Vw.j,amU`:$xڍRkA}3Iua6* "(5Z̖.HA*)^BP frPڬ6Y:q6ĚwlGR_498 j #=](B(w X oǻbcГ4{"+A?6^*doIG~x^Dp/{Dd T0 x # AT2QZ&cԸG&oP`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks|Dd T0 y # AfU2bwmoQ z<˷`!bwmoQ z<* XJRxMQ=K@~T DPqP`UlűD ZMKpuuqp''gl3sϽ_ #bGbt8c!b<VTȍ_1' -Fu Έ 7JuOg4`Kݦ,#"h,MyO%hQ{F[;nTmsO"į7i 2 fX3TF![BiHUj5k\ٷqT9xAfW.jiUxD4>cZPT@{`D*Fy|W\rfHVvn؄rt0߹%R\ oR:TkE'пu:#FR2n)""Leo@Rh9]㚷ۭ- ơ;]b7x,A4m};(|ZP]w[fX6ڛZEJn9;ӑ?Tlשc1eMz;Ih-+{nF(ih͙G:q׼KJɯ`$q2FZTug Gӓ%-/;bGIL(vOyP=niɝ OUd/Qd/q*S_qDd T 0 { # AW28ܶSH|vɖ'[`!8ܶSH|vɖ' xtxڭTkA3lm`n jcPl"|4bRqN.Z;JA9pA}7 #|:c ~VXK `KX"ګ ث9|'X嶗ٰeSxƗESs 1@[#l +n`wnn(x9 As_u-$Kxo"DR/ϛ`F{Dd T0 | # AX2QZ&cԸG&o`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks{Dd T0 } # AY2QZ&cԸG&oG`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks}Dd 0 ~ # AhZ2`a`8#ե0kqt`!`a`8#ե0kqt٪!`3:xڵUMHTQ>F}313Θ Z$ AYZ6`؈,"Y%"MD,EaDA-D.J}gNFys9w/BoRrThi2Bf8J\^X1\#B*u(kS14|5(E})i.%ZZ/+Rv9ZCڴD_* Q!>E^vJTqE *3X9Hyt0 O/"dE>U|oO}% ) \0jbjiujQ`5'␬$CK Z" +S";{aѾśޠ1B|Oۡx:R8mu][jMpg[S87z;rwdprq+vR_Fn&筡n8tkR#Nz˚k z&5 FSŎx4!>(3xJMN! SN!WVsT@2h+_!pݢ6[Il%0~~śʹfNu.L/#O!k4y,Jǘ U?Ogs3䬁Dd c 0  # Ai[2*u(;{];y˔ ʶ?`!u(;{];y˔ ʶ `:xڵOA̴]*V"& M % HlI/ʊ- i{#Ĉpx?4Q%I73o޼y' /7>"^ *9gک秓lSBGn`=3 [Q~.robۢ;L_D&w9% :Bvdr!ndcalO106 wktD})FGZ5Wic80'_3%fmY?HJՠDf_ T|"i:̚C|`"9ⷛl)w/^dzz :z;^\є:RYB'x[[;[4Svp!6u 㒱>AKXzԭ> ogu3̈'8SBP-X)r,O}4u/PգKE9bĨN"㹟NtgW±D|q#str±:l:V m7M; Y+>Aj}!+59B:2;ttm Gӱu|}^@Cȟ ͗Ml>K li9D{s GsoIJ%֨tEWui7y{C~N-g^ V|uahق&X4F.Q??Iuj'UgghG[,o殁d%>:(~h'Fi['S3v"Nf]z̖KKvAnٖv[- @|ZEٞhOf` F :XK INHV^g( DNh%b<5`Z ]M-?ff`ejze +}` B](UY DK{G>a=%H(O "vy۠m _\ʎX"%^x.6!7-ke6&ػUDd 0  # Am]2 zP)t-_O`! zP)t-_. 2@CsxڕSkAl4U)&XEhD$^M`$Ńt&d& ^sC'7@уo{>faf8BbirlphJ⎝t#cCa I<"uB 2$} 9%yom>&wMnq"oniJ$ЯrUӕ5jUuQD|zVAk_u[Q8Eً%vvO']`Iol2p\g qםvRIz~@[Wj:u$;;]iP"LPDvD28?;99r<\5 #c,"I~9M`^y?!Xy՘1X\)f %ef0NZ¨Z f^ѢgmϷ=`4bاOhP"@)vG[20q+npdw FXgdZPu|GojU"WEjeK%'yzșDd | 0  # A^2AE>y<z`!AE>y<z`h{xtxڵTKOQ}С|K5BidՐPJU n4XuRPHۍiJ" ntEğ?4`=LKjw7|>+P" 6'+#4B)n7)BL Fkf2Gns351F4#%~Ep{"48z? Ud=|Q/R1pSDn3?9p:o8`1SpiJ Tp3"\vy2vBeZUnjuwjc'RֺZxRov "|8c.bjI]w YID1 JKwHt4'@Ce$O%{&G0+m^`a$diigXaYH^Em&SQ1{_dwFΰ\o?_[S 0x;1Nj'殑5-|}=^jpqn(fͰ%j=.RNUYo tܶ'Iq|LUqoMbv{Dd T0 ! # A`2QZ&cԸG&o`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks{Dd T0 " # Aa2QZ&cԸG&oO`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks{Dd T0 # # Ab2QZ&cԸG&o`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oksƴDd 0 $ # Ac20ƚQFcr6 E`!ƚQFcr6&;@CxڥTMhA~3YM$IJB6x 4?m-6ʶhI" ^Rłמ/AŃk B㛝lb;d޼o7CI @mÅm4"67u  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oks{Dd T0 & # Ae2QZ&cԸG&ot`!QZ&cԸG&o* XJRxMQJA=3D l"" FD,ê"RYDXX k +wUfgל8jK3"Dl/LQB>  g"GxzpȚͫ|f[2_MqmSǿd;0j/kϪ%q"|to/{[A#la@Vjn׿''xs=-VRlS ȼ{Ų,[? ŠE؛^׋V]<"Mn"IFs4c8"qVN@(ȌǑJAڞ3t/ Gdi&@4D>ڊ 0K~t aB^(rhZeqSaN$j>'oksDd 0 ' # Af2e_6hgVGjA`!9_6hgVGj`\@CxڕRkAfvm`*xP$@~4(hIRԸE$) xi{CKГo%Iff7JCo{ߛ4}d}H[r.|40Fib>Ёb;xmqM-?S ]ZnzVrvP:Wh[O>p*G&*!k68'/_?gBD8IW|B#GQ{ VPU{;ftRp$&ߗѢl2R{q^[~`S#ۼ>\Ά{E>[.lY@XWbP,1\q6ĚK!Wkr(biQ1S|!견ѫ>roSL1I?i\iAWkAğoeEݯI(_WDd @ D0 ( # A g2uVصt='p[`!SuVصt='p!xڭUMLQ?mۂ@5FC=@Ob@1bѦ4i)m@"!=p1%^ x0&7o.i:oJq{曙vJ3 %D-˪v1;5-u]Hef p"R@=Rpz8v! 5c䖥G*tۤpU8Vq9,kůqcyt7uj?[&-tbH}'"$P`OG;@ce7 f( wXlqkU,}rzm/qy$yFGLpH0ԅ_ؤ?bOɧ{h$.sm.Ne$gci.S0JLGT:SSfg~Pei` 5~W tS9,!0686/9P|0#O! eY^bhʬcV ilϽLFMT`6zug nhMǯܓ]Awyuq~$$/N|,{Dd p0 ) # Ah2Pzិby ~8,`!$zិby ~8 `:xڝTKOSA>3A)֠B* ,J!D6U-ZkcKI 6IQ FV.qᎅq;pAԻ0 3Qb4L:3ߜ9y=Zo '%Ēt0zNzOQ:'u 2@a@,-''fEKI%p ðg *OL{Nߐ떔 --9ZP1-j!} E`:qHL'뢗H)g2|Ϋ IolvQA5[6Ov>VRg*ep(aZca k+yzWB'i5«`H);ˀ6̾mj8}5KV^{``\-ٱlpۢo'e֦J깣l໙|sCl*UG؋H& \+a .^b1Eʨ K Ve+B4'K ;`&3(rT9F`B|:ǣL>mk6}V?O'p>F(nnj!GQ~R_@3>/: &P sr|I;!\ ǟ@TQ W1p<^u: 0ЦNר@%պS9Fv&R*$?2gޒodS3ˍ$aLdDd 0 * # Ai2+Έԭ,M]Z`!+Έԭ,M]Z|  hxڕS=hSQ}{k!Io)6k4MKZ-M!D}@$%P(X 8+8tp([ o#sOCkа ,A$:.iހXbt^ b !fg W٢\ \1I![%|HcbA1qdE>m?6/093آ5,4K)#%۔Wgm[us{inF/UuSݢimzXCJ,ƵfynЎg>YC*#b]Sre %a# R~'Qާ:0tAw˺4uF^_}~1n |RGy)R(fN$E (>Ox|G+΋Ol4\۹UXNSjn|Ϙ/UÊO؟,V FE"DfJDoF֩֠jF$yO1ݩP0[k43eupn:7c_"8@"+CH8 0mW{ON)ag3M]B):Ϧ՚QtDm=ePŅmv߄btrDd 0 + # Aj2$3+-ft8`!$3+-ft8` hxڕSkAlfw4j-6) RI6ŋ!F]kijӒP(X ҃$/={[ {b|?bzp͛73JV]؆~6A"fFרtĆxG] CS:#03?t&]+OskK&Bov<{ɉ~FPFQJ\G.A׀h<_#P+ϞOP?싿@RevZݠ+OEaJoUg}wynnN!?٩ {XZz<6fg)TVK\D7MWF0~7n$֪uֈ\JO5a Z;cFa#S?1gYua0^/m>P &:͋! >c/$6{`vA{Gʾ%L7ёls{a{hsk,i㕭'U:vXsZoDW„Dd 0 , # Ak2i\Y+֓K6Yn4=E`!=\Y+֓K6Yn4=81@C xڕTOA~3-ۤ-[PFLiJ4&--nJJzDbx&=4^ N?4{c}b1N|ͼ}3;/F 1ZMGF+V]ڡjl1XLg-7@ =dc SDiUX@UzboW4b]ki譒?|%az3bn$2$Ole zCompObj{iObjInfo}Equation Native ~!APAE%B_AC_A %!AHA_D_E_E_A  log 2 9 x"-1 ++7()==log 2 4++log 2 3 x"-1 ++1() FMathType 4.0 Equation MathTy_1088600667FfU(/fU(/Ole CompObjiObjInfope EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  ! FMathType 4.0 Equation MathTyEquation Native _1088596115FfU(/fU(/Ole CompObjipe EFEquation.DSMT49q|%@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 9 x"-1 ++7()ObjInfoEquation Native A_1088596051FfU(/fU(/Ole  FMathType 4.0 Equation MathType EFEquation.DSMT49q|6@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  ==log 2CompObjiObjInfoEquation Native R_1088596144FfU(/fU(/ 4"3 x"-1 ++4() FMathType 4.0 Equation MathType EFEquation.DSMT49q|4@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uOle CompObjiObjInfoEquation Native P!APAE%B_AC_A %!AHA_D_E_E_A  9 x"-1 ++7==4"3 x"-1 ++4 FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088596237FfU(/fU(/Ole CompObjiObjInfoEquation Native c_1088596321FfU(/fU(/Ole CompObji|G@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3 2x"-2 ++7==4 3 x 3()++4 FMathType 4.0 Equation MathType EFEquation.DSMT49q|k@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   3 2x 9++7==4 3 x 3()++4()"ObjInfoEquation Native _1088596481FfU(/fU(/Ole 9 FMathType 4.0 Equation MathType EFEquation.DSMT49q|>@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObjiObjInfoEquation Native Z_1088596560FfU(/fU(/_A  3 2x "-12"3 x ++(63"-36)==3 x () 2 "-123 x ()++27==3 x "-9()3 x "-3()==0Ole CompObjiObjInfoEquation Native e FMathType 4.0 Equation MathType EFEquation.DSMT49q|I@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3 x ==9 or 3 x ==3,%x==1,2 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_1088597240F V(/ V(/Ole CompObjiObjInfoEquation Native _1088597561F V(/ V(/Ole CompObji_A  (1) x y x 2 ++ x 2 x y ==  52 (2)u++ 1u==  658 { FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  ! FMathType 4.0 Equation MathTyObjInfoEquation Native _1088597594F V(/ V(/Ole CompObjiObjInfoEquation Native S_1088597747F V(/ V(/pe EFEquation.DSMT49q|7@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A   8x 2 ++ x 2 8==  52Ole CompObjiObjInfoEquation Native  FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  4,2_1088597828FsX(/sX(/Ole CompObjiObjInfo   !"#&)*+,/23458;<=>ADEFGHIJMPQRSTUVWXYZ[\_bcdefghknopqrstux{|}~ FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !Equation Native _1088597933F V(/ V(/Ole CompObj i FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %4,3/ObjInfo Equation Native  _1088598003F V(/ V(/Ole 2() FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObjiObjInfoEquation Native  _1088598959F V(/ V(/_A  %2,3() FMathType 4.0 Equation MathType EFEquation.DSMT49q|0@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'uOle CompObjiObjInfoEquation Native L!APAE%B_AC_A %!AHA_D_E_E_A   18x 2 ++8x 2 ==  52 FMathType 4.0 Equation MathType EFEquation.DSMT49q_1088599118FsX(/sX(/Ole $CompObj%iObjInfo'Equation Native ( _1088599247FsX(/sX(/Ole -CompObj.i|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A    14 ,  12 FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfo0Equation Native 1_1088599369FsX(/sX(/Ole 6|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %  12 ,3() FMathType 4.0 Equation MathTyCompObj 7iObjInfo 9Equation Native :1_1088600264 FsX(/sX(/pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %  14 ,  32 ()Ole ?CompObj @iObjInfoBEquation Native C FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  5 logx "-3 logy ==03x() log3 "-5y() log5 ==0{ FMathType 4.0 Equation MathType EFEquation.DSMT49q|4@6M6GXDSMT4WinAllBasicCodePages_1088601075FsX(/sX(/Ole KCompObjLiObjInfoNEquation Native OP_1088601232FsX(/sX(/Ole ]CompObj^iTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  According to the theorem in problem #45, (3,5) looks good since 5 log3 =3 log5 , but it doesn't solve the second equation. FMathType 4.0 Equation MathType EFEquation.DSMT49qObjInfo`Equation Native a_1088601344FsX(/sX(/Ole i|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 5 5 logx ==log 5 3 logy !logx==logylog 5 3() FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_ECompObjjiObjInfolEquation Native m_108860140893!FsX(/sX(/_A  x==10 logylog 5 3() ==10 logy () log 5 3 ==y log 5 3 FMathType 4.0 Equation MathTyOle vCompObj "wiObjInfo#yEquation Native z1pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  x log3 ==3 logx_1088601563&FsX(/sX(/Ole CompObj%'iObjInfo( JK    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHI^LMNOPQRSTUVWXYZ[\]no_`abcdefghijklmqtuvwxyz{|}~ FMathType 4.0 Equation MathType EFEquation.DSMT49q|a@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3 log3 x log3 ==5 Equation Native }_1088601783$.+FsX(/sX(/Ole CompObj*,ilog5 y log5 FMathType 4.0 Equation MathType EFEquation.DSMT49q|a@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_EObjInfo-Equation Native }_10886019860FsX(/sX(/Ole _A  3 log3 3 logx ==5 log5 5 logy FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesCompObj/1iObjInfo2Equation Native ;_1088602082)85FsX(/sX(/Times New RomanSymbolCourier NewMT Extra#"'u!APAE%B_AC_A %!AHA_D_E_E_A  3 log3x ==5 log5y FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObj46iObjInfo7Equation Native |@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  y log 5 3 FMathType 4.0 Equation MathType EFEquation.DSMT49q+J]?<є$kA8?]$"0DAf%,rt_-ꦗDd '0 - # A l2Mo:ܹkL6r`!Mo:ܹkL6@`%:xڭUoAfhVV-j#K`4R-?қ$Pji$&61՘x?!{ӈovCh3o{y2)%;Jg̔o6t5u}JSA.FS8'i$n@}W?bduIQ")/H$}㟿E3j^1)>ȏDz2p ɛ*BP0Z5r_ۻ}W/c0^̿ :C]:ٜmL jIxYQum qЁd<-^C٫ J0o(<eص(lh"Hxe|SqCNZjRMzN_T؜g{wf~glvQho INoM1ou[RU:%p>?)GLV-e=̧K2rY#场,pYbI%ZYY`^冻1j YZТEms:MQ5dyIAZ mH$L:_ψi)ꕠ,I|-Oʵd8O$;J:! + ,"G>M3z9*1ILLǻD @]|nZKw2VԂ_Ն^tO#C+Dd 00 . # Am2,8V-%̂jΚq `!8V-%̂jΚq`*:xڥUMLSA+k-4JB[H xPňU_H!m & 1#ɠБ7b%+z|}3}sƧ:_[GO[~gWF^;H咚UFҩ4앇\Šz i/?V&* )Q*H |UؓwG.741KAT9}漓\nqJl:l(|*^5[Al7;V90>ƺdr I܌oI5i7aF"ل:KFX1e(77F.\gJKڼv<9 ڐvJ[@TjSdPZ혶!~a!cCR+@YFB i&р7[ !;n:h^~c{-A$Gƕ3zAC'Ц>n0]RW!wׂEn*rCz0Zh>3h%Yl3kVXU[:Dd h0  # Aqn2EoQ~`!EoQ~*@|RxMQNA=3 ( q_1kBc!(%Yu$ 0+ |%?L;jd9;geG biqƼp(M6a! ;S4,b(@'K B+ռʷj6%UBhlt/QHEϵ*g28LhwGh 6*di)5_B~F)L~:-]'(vֺ0l8VkD?U캸Dėf$cS[ &7DܴⶓEt-E f<TLYMBqvLhaF`gơ)'[ ҹ:M,Z]'&I2z|5Ч[Er+JDd |0  # Aro2:*%{e"8 `!:*%{e"N` `:hxڭTkAl>$n Ն1A(5_hmRrL.i $%[ UI!M@ {SovQb :̼yoapC47uΘ#1>-6}~&S$(c(6Ãi$ʀ*)gJ{hlj;ˋOB&;'(z%Rȩ u܁qMa ;W_|O{o}3k>+Ftyv AoXkh-QWFe'o`c1Fhb#9$Kgơbu%IǼqL`0G&Vtw&pČC v18-wRm#U+ړT[TqMНѷ5)E5m7+\aD9<[%rt=Ls fΜ3weJ~ .B *K.鯖)gqjD#,2÷P%5z/g;I V"qgaaeb z%Aȴ!FQ:o#^)־Qb%#WvS< >׃dY"fDd p0  # Asp28F1٘`!8F1٘f `:xڭToA3+.o%QKRb⁄xmcuCI[fFj4M/I=z^Mbl<4do57 QS';3oۦ7'vJ-L 9kӾgq.D@; $tP=1 3-6eGt>G}廇'|$kUhxÄ;vQ G+fdʕ_ks #4(E9008R\U-UhA0ZmM :  #q: {E+Ŧc:|yh>s{*_j*̍:];_#uTw{OͶ컔"47w8yL.KJ%UGlf|δR+5n#3F~p+rLo'EeBr$㢱Z@I8u']u *P+0N?01 RBZfRx84j|(<(H@f!(Nc;ny0)dK04?C3]Y;(1a\PO֭;m B}0Dd ` 0  # Atq229 tI'#YVs`!k29 tI'#YV>@@C9xڝS]RA~fn,q0d/?V"kI+P !.Q[?t"..l59~ PB@ 'MΘ]aglO||ȡ0p ~ 9<<C~Xn@y=~OfRpKպ 4F-3D3$J'$ϜA/j(?\Aglq+ZΒ ~ClԊॠzw7֌jpXj  q.U3{ ꂨ@h4:?R/,KL(̈ 륰ÿ- t/]Lwan@1`޺1P~Cleg[^Txo=N3 {%frzCpN~I{ fӛ/8*xDd 0  # Ant2lGj'{`!lGj'{x xڵTKkSA>377oͣ-6 X-A$Ph Ťjԋ$)IV (*U]K)tQ\Dtg *4{o^EMfo|gΙ ?0OB Qn٨6N? Q&4Rwd:StmQ3侁@#EOiѸ6,l=T]&#N{S(3K%5QgXb2xWo2+3bZ]՞DюP>=lks]pY7/DBP cCs34_놏)pp2yӞFKkvIXorP"g.:XLY??s^1rX;}W^ן36%m;}ے0 ^Vv/gf|"5M.rx(ܑ3wD޹5.1QX*f"a*IV ukh%:6rR>+9 l#m+r^$uLUOO'e97P0";'?+VXG`;O4zPe~??8 IiP$v<CzoSu:2U~zQq'8g`|Z,R +1OFoU{wnFDd l0  # Aou2y|@_(vSfU`!M|@_(vSf纶.8HxڥVMLA~3]' Y]Ob?ƈ(nRBҋ! @ē^`b"Hg#փ` ktf޾y.v@,VJH"4JVJiv^Mٶ E COYE-VO2ʠ?8u'PV(%<V%N_I?*<-Ax֡xFd bt<;XVf 8 2x+][i$}|.lr8ب1?ut <|]įa'(A+Ib!;.}/J ~~/EVݼe5l\XHj1F.A դN36eVjf,619͈3^2#[B[(+l)7;7w=z1@Y`*.{ea $Kȵw+%4>/!h-6ݾc^`~L.L7|, T徕)<04OUjE&0|9\0HLXg^Cd$Y{^')J3_w4"nW ?1?3?k/qTFY 8UdVbti2ոo98)zlʥ"wW' µLz+Qucޥ| 7{:BvGcAʵVY4Di4M6uptZDd $0 c # A w2O:8yﯵL% +%`!#:8yﯵL%  HD xڵUMhA~3d7bPVj4=QŦz6ꢁ)MkZHRO^ۋ'PPCI  SAf'صJ˼ޛ7ov@eV5_JH"\.1rTy4uTB3Y0Cdg.8dq'.D  p=t֙Մ[c壋c,7[ 5. g_21sf>p1IJ<@pmaOB+|E#mz}Q]UaxGCzp W5eNq:# Tg'lԩAv$b*T2qtB%DOҳù Y(lKp[*#dnR{TkQ 0ݠ^.ZeNx2 C>np f\흾φ2D䍫k~ -*|dKVdMXYONWVO -7؟ s)1(HJ+LpnL?E{\Gvn>cҶEQZs+4 GsW1PA4Ɲ"t~̄-4%Ns@}CT| ^nlro Y2 |Dd T0   # A y2ؓ7x`` -`!ؓ7x`` * XJRxMQJA=3d lbv E`kFI .cɃ5]* ElXX`mHN0ޙ0=s\$aC,?ΘFm9~ag:Z hXH8#1τɾSG:WysQ)D>.Y_|[[ "^YC}P/N\>ɛ~  z}j._g[̗q2fzmYj#/UV[?Y7*^QmUxDԗ/ND AVØu.M͹MB(e P% XmϝqoVri-"MFh*⻺3`ؗʍu`Bޞ(RXuqSaZ$2/XGYs4IDd d 0   # A z2W' f>^ ]:p0`!W' f>^ ]:^ 8gxڭTkA3l7MZ)F"Ab/|4`^*iE(IJ A)<`ŻG/"CؓnC:0?~F>T: DN\zvA km y02]Ļ84]\ d G  ?1^HhECHdc= 4hzWqT{ qPR%jvݼe7;r'R{Yfs2|X:wV~LNjMۧ1?nqoey*R%~ĕ,X&5(xJh`9:ZCWJ86"\#.߫G]ޱqcxqy*QybL ަb%Q*% TTxh![aTuVk'LLL1Άs܈fK&I;dQHҟ5u"H k\wN:ȟ/F`#ŁQ@vق\7[a'iK4SVCt/>L[15󮈌FF y{! jf]Hx}p!הlxvX|Dd T0  # A {2ؓ7x`` 3`!ؓ7x`` * XJRxMQJA=3d lbv E`kFI .cɃ5]* ElXX`mHN0ޙ0=s\$aC,?ΘFm9~ag:Z hXH8#1τɾSG:WysQ)D>.Y_|[[ "^YC}P/N\>ɛ~  z}j._g[̗q2fzmYj#/UV[?Y7*^QmUxDԗ/ND AVØu.M͹MB(e P% XmϝqoVri-"MFh*⻺3`ؗʍu`Bޞ(RXuqSaZ$2/XGYs4Dd h0  # A|26']B^խ56`! ']B^խ@|xmR=OA}g8, HE,7qb#NmtqAdQ D%% ?} JD4QTibYE̮V̾wof #I! "?"vUL3>6*yaEW&##` S\1gƾ|P&Di"q~礜@$_,;5+e{wͼu08;>"-ߨ^ FyR`qRUIJh>vlt!(Vs|(%K]+n+;Κѩ!__T'LWE* dfsjc ;XLwƼa%'ey,U(bu̫Θko;cia4č +ՠܞq -8-1;aoTw{`H sZ)˝ )ڿ eOkR( }Dd h0  # A}2#o|@*b{_ 8`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2r}Dd h0  # A~2#o|@*b{_ l;`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2rDd $0  # A2[WS"cg=`!_[WS"c`HD :-xڍRkAfMօMڨH T+iJ~4bbxL.64%IYsOAz܋=c {Qfv7߾y! 41>.9|Sӄ.c,#A!46u %Teo9WQ2h)$V ڠӂ'7&gKG< $u&EPǀAOo1rvlSwd?Hɬ"xMp* M󔨜p w)"g;,В\@jqmgw=aZx:"cV7Gðovt|Vurףv*6z'Sw!GRUNjnvO$']~60XAں60wVxNk~_uB Dh~?2KAuO{_˾ ɨ?QaiP=4$Z"zM/$ZhY,E9e2kgبE%Q=Pϕڠwrg Ww2Wa8)}}Dd h0  # A2#o|@*b{_ @`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2rDd 0  # A2VjG&)bcqx\uC`!TVjG&)bcqx``\:"xڍR1o@}w礉$- :HF*Hq P Tc0`AT&[Ee!cNyjwgBСw}{ǐwh؆ 1>.Gj'M\X# 1C_ini@^Щ(@vYeI|\)~<?N"I ӂ_"b"ӕ5IpIuc UɝK{gfj?"ݑ7)V] ~&y^r--B48~" sB-BRl{=[O:mwgkFZD K{?[b;rԱ_H&,kisnny魺+ȊDmz]YX7R(lጽJ;Ym4k} ּ4@l` 4%T (tfHdwR ׻bcГ &"kA?W^|?(< K*|Dd T0  # A 2ؓ7x`` yF`!ؓ7x`` * XJRxMQJA=3d lbv E`kFI .cɃ5]* ElXX`mHN0ޙ0=s\$aC,?ΘFm9~ag:Z hXH8#1τɾSG:WysQ)D>.Y_|[[ "^YC}P/N\>ɛ~  z}j._g[̗q2fzmYj#/UV[?Y7*^QmUxDԗ/ND AVØu.M͹MB(e P% XmϝqoVri-"MFh*⻺3`ؗʍu`Bޞ(RXuqSaZ$2/XGYs4EDd @0  # A2FG8LMH`!FG8LM  p(+cxڵT[kA>3{16iD Ai"|0mhR|ª&oADP_?CBABX*즱^@R7o3~Id"t4q 9b+Y.:È9 !DhG5\ Rw=@.}h[h}ao_uo]|ADf*5Yzfn±̮=`,&"`h,ݞ4Mq ʘ-i/8(hcV z,o9"XdIOq+#>.gOx 3*O:::VԊ0bv^;KvNV,,~_#X$ e+j5m6+2V|`5!TLݨX 6 a9_: 3Eգ3)pryg;]F+gp.D^5Ģ t;ۈ*g9})=HbCEJj *=]r8wp`Έ 摀&%Ct*2쿒-%p+5o~GsTqm_D?J,'.wm/ό\}Dd h0  # A2#o|@*b{_ :L`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2r}Dd h0  # A2#o|@*b{_ N`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2r}Dd h0  # A2#o|@*b{_ 4Q`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2rDd [0  # A2v֞eD)RS`!J֞eD)`SxtxڥSKkQΝN3i}SD"T1qG.2PI&$)cvAPJM? w.,]JÂzw7=|s/aP>bi<QHfݦ]ZMmr"f La!HEViT#$«f ω.${" j̥5yEF_[ a֛mo=t<۶;P>xXp6A9\Ez|jT:"T)s ՍTH57$5jS٤wUۤ*i`kj})Z%|Vvu{#aFΓN"2jnU^ z6>7Ȟ\-\_#(4]NuL0k/_i5*E#M8"9=1 R$n.L.G]ʟMAO߁|-u kdL,dji?YC~Jf +?}Dd h0  # A2#o|@*b{_ V`!#o|@*b{_ *@|RxMQJA=3D lT,AyQ1+aE yKea`H~vθ s̹9ip Fg̏2b>ῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2rADd D0  # A2Qݹ8pcvs(Y`!Qݹ8pcvs_xڥSMhAf&6&m?H TRFMhI܊"z&RgT'^ %Ifv7bA37ߛ >@8arh49cxWvƸ{bO 3%-,(#[l=w6LF NCefg_Kkῼ(ORҰ #!=د$YQծ9T =.)}>yK' #X]&Ts&wi齁+o^2 ;JͯWl l!oҭY.F2SrNkx*U~ib"]ăj^r@swͺ&cC[͍^˛֌yB /z"E1-ChYx# l1ijQF`gơ)g[ ҹc7kRh7NETx&ɼG㣬!*2r[Dd D0  # A2;T)J/^`!;T)J/,` yxڭTMLAf]B-\IZ Q"%K 6RJhIx&޸ī.$D/<ճ!͞0Z4Ldyｙe΁0-L3X7Meͺ+.Z.)B=Pw- `UfںEG/Ctn︴>_`^ iE~]hgDsf׊˥UTS$#A ܀f2#HPn`f%~}zlÿ8dL{3ЪL YV7_F*X 'ƅƅ>]҄J l^ս[*ph'$k[A->8L >wY[@%2ܰ%uJ[܌837caLfǨrD\)+^Ia,)mn 9Xh6N=lщsqo=N/=Gc?LȊ:MXBiCdnʗO`qj FU@nvze՗fx<||2L&gUi?[ 5w4SY]()ZA{2_+W"@OU-eo&?:BlDd x 0 f # AU2Wj2l`농mGk3Ab`!+j2l`농mGk`X xڥUMLA~3C4vˏ?HKCIcCJ! JxU7IK 1!1x$Q=z#&&OЋ'B7WYֲٙy{.7P(!DhVӥ!rԵSCSbYD^1cAFMWؖq-.[IuNHQ&u;BEinrCc<<rPA#xbԇ_~_Z##8' `P5|q>撶Mq{F/aW_?i$H3zYLd6J!m ,2N3x/C:mDehP0F 7H92S '"eΌHu{"Ӂ7DqX9I6K["^R'"'J Q;F=M0t{P:v*s{WtzfZZݷ*o865!QX*l|D?0p.g'ڢ lOm\VGgP }U uT{A;gflf\co!ȃP|0s}ILI~v}JWr[).%D{!4UM6^:FamuAh mܺҤ Ї^TSjr0fiT]U?k VH3iu=ϧ,8.OeM|ӠV(%wOumo=ep=E'8*!Fg25s8sVu^̰X&v'bc T PPPRDQgw[k{//d^(l8:a&k6qeeT@>.ChpYjۆYl*:%rݶfssCzzդNjaD+x97bٰ9LgTN+x[Os] ^*zOWN1'5<:y]+ծ#'}lPݩ̬`3洟-nv~keveFx8*>X,@q{@h*d$p"A rqJO*ԼjAƉi &bc1L6^S,`\7:@Q>Ls1*29)W(4 dIjVΡKPs-Ī?Bo>֙4dJNe4KSqݛ A|,nڎ'"Vx9.c|Dd 0  # Ax2 7PF="-c?j`!7PF="-c28i1xtxڥToA3 ,>Z?USDO$+(GA&x⩉bx^Ll7fvdES̛3~};œ@aXb[ɜs>~` a6x'.dGNM(2k)[{DȬ|Ld;ߩ[FD3rH8+Vβ}=2kN݌ⷎ ٦(m`!6Nqh+^kFN8?\ @>*xڽQHSamue[PC139Ѓ䤇YzY͉S F= "ޅ=J@}+\ܻrκl~|;?wK)9حxhrH+d ݙ7I/8ި.H` h\)حslf\7~cl2`ul0P~u<`_Lۜ&3 t_B7]Z KbuJ:J_.ךV:dÝ#JnXda[u""O۩~dGJ\d &3,R?&Uux;YHY(WdjZro1*#f!jVM9V?79!_؏1k?Ygv;<Pw=2F{BX >j\r.LE)m  J;QZs Z}F?x6NO?/b˩kq?Ih}:̰%aVCD%; v>OyYCG6S5L˺ڹe 3Sѩj*$+.RΕR:~o՜sN}*jH6MZ͊xP^ 4IL-&c[B/Գ "9&L6-*͛ !h)BEtt!Ēb(ըUL3H32b 0dBUwmΈtV!FqHݲ[gɎz2VnۆcqVu|4a6,?f#xW8 ڜ"#:%YZ1Oxlac??Ԋdy:63>GsaѼ;6`i{8f侴-/%w۶rH-&Gzl&'K^bZGkmJpPl6K&O1F͇F9_L AO!zS.\R.0_osL7y/I$BgwV=|VotvG XxG~zq-޿7Dd 0  # A{2{sNLBɞWt`!OsNLBɞ(8@CxڝSϋPKmB]DPQZ<.c7jvIsŽx.c?`) yI,E\|73C p F3YfGXy> YW V1d$%dLgMxA3+jx;&qawcdA9xőmtl>4]c8O<:# bIߖ$Q 4q >PRE0::C%#-Ci彴cae9oza"Kݳ:5&':"(yCil,.k;ʓvٲ*FLwF!_0'E⺳]D.VkAk`I푦\.iE;X ]_/YYE'5ͫ2a*>Z뭪/a4h3ABЫ,6u\ڸpg_;/XW%+[VNd{ARJ]{i O]=kx ƏDd |0  # A|2lK1m*`^w`!VlK1m*`@`0$xڝS[kQ$m6MR6+^(q)K>-&OuM$)ɾD}?E<?}snRҢ|3g\qc1$b|6I`1>[ȺѐLA1߅ XqT{`eDžu?cǿe9¤HZmyi3kI$3BD{HlDAIl% +&wB70 Y.-*H6kJ*l(Ce-"ݲ_A]%sY=(򗎘Xw<"ࢎUD;TF\uEVR{ ]46VrI%&.9H*LyHaUk7)лmxewRlJoS0Bu[F_A3qt@%6.&&8? ;rį"@Br87dVP4sO8$P— jPo,BPgeB§(6cug*sUಜ * o\Ux7wg緽ES6}'ݲmW~iyfmmuaF ɨUgױzL4jAτWɕɂ_sg[aEVZdwekV篬xASUy)m\B؄8k^/^WE(TcB!3] #PRB Si4nǣew#,&e ]z^ s/7)yQ75$*c> M-ca-󎵳pY^#.Z.U[vc~7F6>\;{aS=l54"+UQea溩O'Cn^6XyZF/?ILsƧk/&/&? $G&.% B8WgS9u\ӥ3HXSh_1088602643=V:FsX(/`Y(/Ole CompObj9;iObjInfo<|S@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  3 log3y log  5 3 ==5 log5yEquation Native o_1088602464G?F`Y(/`Y(/Ole CompObj>@i FMathType 4.0 Equation MathType EFEquation.DSMT49q|8@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 3 3 log3y logObjInfoAEquation Native T_1088602704LDF`Y(/`Y(/Ole   5 3 ==log 3 5 log5y !log3y log 5 3 ==log5y"log 3 5 FMathType 4.0 Equation MathType EFEquation.DSMT49qCompObjCEiObjInfoFEquation Native _1088602594IF`Y(/`Y(/|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A    log3log5 FMathType 4.0 Equation MathTyOle CompObjHJiObjInfoKEquation Native pe EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A    log5log3_1088602751NF`Y(/`Y(/Ole CompObjMOiObjInfoP FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  !Equation Native _1088602870BSF`Y(/`Y(/Ole CompObjRTi FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log 2 3"log5++log ObjInfoUEquation Native _1088603023Q[XF`Y(/`Y(/Ole 2 3"logy==log 3 5+log 2 5"logy  FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesCompObjWYiObjInfoZEquation Native _1088603135]F`Y(/`Y(/Times New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  log5log 2 3"-log 2 5()==logylog 2 5"-log 2 3() Ole CompObj\^iObjInfo_Equation Native 1 FMathType 4.0 Equation MathType EFEquation.DSMT49q|@6M6GXDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!O!'u!APAE%B_AC_A %!AHA_D_E_E_A  %  13 ,  15 ()Ӆ[;vS0Me;ښڝ*Dd 0  # A23/));W1Hll`!z3/));W1Hl@ h@CHxڥTKkQS3 i}1PX ֒E+U'Pz39_ Wdj?8Ц^k؂쎣8ί0RrZ&rdq9>igyXeyTJ/JK] m6snE޴6juaT&۝AD}ŲYx԰Dxvτp Uw7W%+Γc| r7=buZpŕ x0NBA .]tp!|I[*Q) ).oҔR2G ѹmiHJH97AP 1Rr=%{5$ȍ6ODd 0  # A~2B, <&[_Í`!, <&[_Í`' @ =xڭUMhA~3$mn 5((%4-`OD]b$&5[PK=zKګG^KV xŋ`|3XKm;d}};;C@ a88)!Fh9gd)T2NNy0  Kj-(IcN,"GE/{~jx̫|Q+Wz]/fg;QĩU΃ b4v#[ĖF VnJ&Vn ۸XY z.r3lO?X~0jjpX~:X> gm@RާGգHdYz  i7vtCF+7%_{Ts[R^_yY dAj>;[ ,3@@;(:dwq C1TFѠ{$vml-E ,c8uNT"u3S 7Ba,[NwlN+AiP |^gNby>  ] z`OƧQ0͕4jE}P]Kh I\A{z<=a_ܯPH ~=KH]*qIg:Nʸ{Aw l'le[)d?x*ʠdw>Uz dOaڐ ODx-C oФҖآ&p&"Ft57°ntgunr~Vz*KW 㫴Vb~sSpEǵrxɹnn7>mgî;mdcj^rNKm"(UN4&7htw4ux!9/G849Y?"?W[}rzF1)ABSB5)]n{js/WUQ67 x0^4* v8?}$UvrDd 0  # A2;S컦]%+Ֆ`!S컦]%+Ֆ`:xڥRMOQ=M[ ̘q1"V ʮ2M iKjwUa?{e lr|Ą8޹s$Ї$"BB="nJ~^6C0>)d?x*ʠdw>Uz dOaڐ ODx-C oФҖxKML_Ex JuknzM{aw<)+UF5ėHܺ 㫴c~sSpEǵrxɹnn7>mgî;mdcj^rNKm"(UN4&7htw4ux!9/G849Y?"?W[}rzF1)ABSB5)]n{js诰UQ67 x0^4* v8?}$Uv+r|Dd h0  # A2YٓT{&Oڌ`!YٓT{&O*@|RxMQJA=3Yo *(vy`"aEyk:+ X V!!l'80wΜ{3 @eGbxiq܈d"mb,Σ4,c"!DHA$+M fЩ[T =.C>yK' #PSa HC[hy"6*d+u_!Rla^r9i6KWڵ3o&Bb5jvjFjK=قk5LD0exaqάfV9p2ΚM) i)1ef@v;]—b3qdQ Jxo0K~| /OoHg5i80(Ly6GY#Ud7qLDd 0  # A2 h!<V`! h!<۲!R4@CjxڝToA,t.~M4DSA≤@I<6BxJ)$&bbO?(z(o=ؐՈ-KhDŽ{o3+0(w$ *M)+ 8r-2I1E,-lwYH*U Dxh dS^ $|*7qṰdr6Ihm׀xvG obK8 WGTͧ6asg.#JQY QCokAU2~rm9l(g5Kfmfn|؏,tFpLxT@m >mOpvkP{*ZCqoG1 -L:{_̯ D,=sVAuAŭ,&KյN=鬑zTYa >_UnaFb$NL2Un7~vin)e/ j41ά9ƍZ/ReN?SH ә5({B&{i(O!vX%iCUvX7/ ^ƞ m:_T^XE4x4V?{1ت [~DyDd _0  # A2b%aAywcDV0_`/ }鶙MO`X w01ыƱJ^c]IXk-fzg1xA$U\Zs\Ip/u^IariwwVDYåٚ.y7CSrqFʅCJ:IyĞ{M$R+oL-sm\ZGOA)4Z!)r !ݏ)7ڑvZXfiuΖ (9$-,*w6ʯfJyg ƱaJF+XhiАU'i4鐑NlMѡ!4Az<|SGa]S>|afp׮g>o7o|l-ku-a[xv8^^N|Dd h0  # A2YٓT{&O`!YٓT{&O*@|RxMQJA=3Yo *(vy`"aEyk:+ X V!!l'80wΜ{3 @eGbxiq܈d"mb,Σ4,c"!DHA$+M fЩ[T =.C>yK' #PSa HC[hy"6*d+u_!Rla^r9i6KWڵ3o&Bb5jvjFjK=قk5LD0exaqάfV9p2ΚM) i)1ef@v;]—b3qdQ Jxo0K~| /OoHg5i80(Ly6GY#Ud7q|Dd h0  # A2YٓT{&O`!YٓT{&O*@|RxMQJA=3Yo *(vy`"aEyk:+ X V!!l'80wΜ{3 @eGbxiq܈d"mb,Σ4,c"!DHA$+M fЩ[T =.C>yK' #PSa HC[hy"6*d+u_!Rla^r9i6KWڵ3o&Bb5jvjFjK=قk5LD0exaqάfV9p2ΚM) i)1ef@v;]—b3qdQ Jxo0K~| /OoHg5i80(Ly6GY#Ud7qIDd 0  # A2qR^RG"ͫ{`!qR^RG"ͫ{ 8dgxڥTMoRA=3#*$Ո$&-MX$PAvUc ]1)ƕkW]V;[Yt̽s{y ^@p949cxWMvƸ ytBd캀CAQbEi_1J:/7}$e& \\c߸ iy}_^)#kUTh& co:}Ԝ~i`s36€HKs>l֓8ġ31}*^lՇbiwi̶&y ǯ/4/4v1[KM@jɗ*f=tlV+ "-@,D,N59YtK6KZNe>oLs3 Yew(kd*KOgJYG};(. խZɬM]|(Q+ba޸eM'3Z2֜*i͆> g]v\X,d,$>F:A`M0571pl^ ǫaqػuv/òBug+k,~Rt׫VaVxj)A4uԴ]*k1Tables?SummaryInformation(bDocumentSummaryInformation80CompObjjOh+'0x  4 @ LX`hpLog Problemsog  Sam Maloneeam am Normalo Sam Malonee28 Microsoft Word 10.0@`A@h.@{/J)՜.+,0 hp   Home TeambX0A Log Problems Title  FMicrosoft Word Document MSWordDocWord.Document.89q@@@ NormalCJ_HaJmH sH tH DA@D Default Paragraph FontVi@V  Table Normal :V 44 la (k@(No List 0:j+Lfy$@^}bLl4Tt!O}'?iTt* + , - B b  & F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] k v   ' S i o w 1 :    ? F N U [ c k >LD-Z6[q\xUeB>?@A]:+A re(Jcd4 !!:"Z"z""`##T$$&%H%%%g&&&&'t'' ((()+* ++,N,,,--- .N..'///Q0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0 0 0 0(0(000(0(00(00(00(0(0(0(0 000(0  h P L& #\Tz ("^#$f&'X(0)**,C--.Q0q1u2a3K4'6788 !"$%&')+-.012345689:;<=?@ABCDEFGIJKLMNOP *W:LJ&.8#(*,/7>H8.FH|-EGPhjp8PRXpr3KMay{Meg{Xpr & ( F ^ ` f ~   " $ * B D {  # ; = !":<C[]!9;@XZ_wy57<TV\tv{029QSXprvIac #%&>@F^` ":<ay{68]uw')E]_  )+v#;= $&,DFNfhiG_a  0 2 @ X Z ] u w !/!1!=!U!W!p!!!!!!!!!!""""""6"8">"V"X"^"v"x"~"""""""###/#1#{########## $$8$P$R$X$p$r$}$$$$$$ %"%$%+%C%E%L%d%f%%%%%%%%%%%%%&-&/&0&H&J&K&c&e&h&&&&&&&&&' '"'''?'A'(5(7(8(P(R((((((()*),)6)N)P)Y)q)s)))))))A*Y*[*\*t*v*w**********+ +(+@+B+H+`+b+++++++,-,/,2,J,L,,,,,--2-J-L----.&.(.... /"/$/)/A/C////////000103050M0O0S0k0m0n0000000000::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B7d!C7 009*urn:schemas-microsoft-com:office:smarttagsplace8*urn:schemas-microsoft-com:office:smarttagsCity _c  tu4 7 = @ ""T#U#e#f#l#p###y$|$$$(((())$*&*>*@*,,--0>?PS_cno#OTimbggnHKx~ +/2 5 + , ? @  $ KM  ~9;BJ IM4 6 !!""G#I#h#i###v$|$J%L%$'&'''(((()) * *4*5*+!+++ --../ /E/H/////033333333333333333333333333333333333333333333333333333333333333333333333333333333333333:L.I|Plp8TX?TXA B F b f  & * ] k S {  # ? !=?\69UBA](Nd !>"+%H%%h&&',M,Q0000 Sam Malone=<,8dA\%1>?T"S&?!':'v*m37 ;^;{<= HwIO#EOBmPNVL<^rg>n@sitv;=oM"TcKYT/=-_PCW - )lkw~,D!)?7bpXe/@00+Frr000p@UnknownGz Times New Roman5Symbol3& z Arial"qhg:gJ)XJ)X)3``}2400 3H)?v*Log  Problems Sam Malone Sam Malone