ࡱ>  F[ bjbj 4$ΐΐC3\ 48d''''((( 2 2 2 2 2 2 2$C5702(((((02''3111(P'' 21( 2111'nS.d1130 41m81@m81m81$((1(((((02021((( 4((((m8((((((((( :*ONTHIONLINE.NET (Liy tha v logarit) M rng khi nim lu tha 1.Rt gn cc biu thc sau: a)  eq \f(23.2 1 + 5 3.54,10 3:10 2  (0,2)0 ) b)  eq \f(2:4 2 + (3 2)3.( \f(1,9) ) 3,5 3.252 + (0,7)0.(\f(1,2)) 2)  c) (  eq \f(1,3) ) 10.27 3 + (0,2) 4.25 2 d)  eq \f(ab 2.(a 1.b2)4.(ab 1)2,a 2.b(a 2.b 1)3a 1.b)  c) (a 4 b 4):(a 2 b 2) d) (x3 + y 6):(x +  eq \f(1,y2) ) e)  eq \f(a n + b n,a n b n)  eq \f(a n b n,a n + b n) f) eq \f(1,4) (x.a1 a.x 1). eq \f(a 1 x 1,a 1 + x 1)   eq \f(a 1 + x 1,a 1 x 1)  2.Tnh cc biu thc sau: a)  EMBED Equation.3  b)  EMBED Equation.3  c) EMBED Equation.3  d) EMBED Equation.3  e) EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  k) ( eq \f(1,16) ) 0,75 + (  eq \f(1,8) ) 4/3 l)  EMBED Equation.3  m)  EMBED Equation.3  3.Cho hai s a ,b > 0.Tnh cc biu thc sau: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  i)  EMBED Equation.3  j)  EMBED Equation.3  k)  eq \f(a 1+ (b +c) 1,a 1 (b + c) 1) .( 1 +  eq \f(b2 + c2 a2,2bc) ).(a + b + c) 2 4.Cho bit 4x + 4 x = 23 ,hy tnh 2x + 2 x 5.Rt gn cc biu thc sau: a) (a + b   eq \f(4ab,a + b) ):( eq \f(a,a + b)  \f(b,b  a)  \f(2ab,a2  b2) ) b) EMBED Equation.3  c) EMBED Equation.3  d)  eq \f(a6 + \r(b3),a2 + \r(b)) (a4 b) 1 + (  eq \f(a2 + \r(b),2\r(b)) ) 1  eq \f(a2\r(b),a4 b)  e)  EMBED Equation.3  f)  eq \b\bc\[(\f(a\r(2),(1 + a2)1) \f(2\r(2),a1)) .  EQ \F(a3,1 a2)  g) [(a 1 + b 1  eq \f(2c,ab) )(a + b + 2c)]:[a 2 + b 2 +  eq \f(2,ab) \f(4c2,a2b2) ] h)  EMBED Equation.3  i)  EMBED Equation.3  j)  EMBED Equation.3  5.Rt gn cc biu thc sau: a)A =  EMBED Equation.3  b) B =  EMBED Equation.3  c) C = EMBED Equation.3  d) D =  EMBED Equation.3  e) E =  EMBED Equation.3  f) F =  EMBED Equation.3  g) G =  EMBED Equation.3  h) H =  EMBED Equation.3  i) I =  EMBED Equation.3  j)J = EMBED Equation.3  k) K = 2(a + b) 1. EMBED Equation.DSMT4  vi a.b > 0 6.Cho 2 s a =  EMBED Equation.3  v b =  EMBED Equation.3  Tnh a + b 6. Rt gn biu thc A =  eq \f(2a\r(x2  1),x + \r(x2  1))  vi x =  eq \f(1,2)  EMBED Equation.DSMT4  a < 0 ;b < 0 7.Cho 1( x ( 2. Chng minh rng:  EMBED Equation.3  8.Rt gn cc biu thc sau: a) EMBED Equation.3  b)  eq \f(\r(a) + 1,1 + \r(a) + a) :  eq \f(a 1,a2 \r(a))  c) EMBED Equation.3  d) EMBED Equation.3  e)  EMBED Equation.3  f ) EMBED Equation.3  g)  EMBED Equation.3  h) EMBED Equation.3  9**.Rt gn cc biu thc sau: a)  EMBED Equation.3  b) EMBED Equation.3  c)  EMBED Equation.3  d) EMBED Equation.3  e) EMBED Equation.3  f) EMBED Equation.3  10.Cho ba s dng tho a + b = c . Chng minh rng :  EMBED Equation.3  11.Cho a,b,c l  di cc cnh ca mt tam gic ,chng minh rng nu c l cnh ln nht th :  EMBED Equation.3  12.Cho a ,b e" 0 v m ,n l hai s nguyn dng tho m e" n . Chng minh rng :  EMBED Equation.3  13.Cho f(x) =  eq \f(4x,4x + 2)  a)Chng minh rng nu a + b = 1 th f(a) + f(b) = 1 b) Tnh tng S = f( eq \f(1,2005) ) + f( eq \f(2,2005) ) + & + f( eq \f(2003,2005) ) + f( eq \f(2004,2005) ) 14.Tm min xc nh ca cc hm s sau: a) y = (x2  4x + 3) 2 b) y = (x3  3x2 + 2x)1/4 c) y = (x2 + x  6) 1/3 d) y = (x3  8)(/3 15.So snh cc cp s sau: a)  EMBED Equation.3  v  EMBED Equation.3  b)  EMBED Equation.3  v  EMBED Equation.3  c)  EMBED Equation.3  v  EMBED Equation.3  d)  EMBED Equation.3  v  EMBED Equation.3  e)  EMBED Equation.3  v  EMBED Equation.3  f)  EMBED Equation.3  v  EMBED Equation.3  LOGARIT 1.Tnh a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d) EMBED Equation.3  e) log3(log28) 2.Tnh a)  EMBED Equation.3  b) EMBED Equation.3  c) EMBED Equation.3  d) EMBED Equation.3  e)  EMBED Equation.3  f) EMBED Equation.3  g)( EMBED Equation.3  h) EMBED Equation.3  h)  EMBED Equation.3  3. Chng minh rng  EMBED Equation.3   EMBED Equation.3  4.Rt gn cc biu thc sau: a) EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  EMBED Equation.3  d)  eq \f(1  (logab)3,(logab + logba + 1)loga(\f(a,b)))  e) lgtg1o + lgtg2o+ & + lgtg89o f)  EMBED Equation.3  5.Cho log23 = a ; log25 = b .Tnh cc s sau : log2 eq \r(3)  ,log2 EMBED Equation.3  , log2180 ,log337,5 ,log3 eq \r(1875 ) , log1524 ,  EMBED Equation.3  6.a)Cho log53 = a,tnh log2515 b) Cho log96 = a , tnh log1832 7.Cho lg2 = a , log27 = b,tnh lg56 8.Cho log615 = a ,log1218 = b , tnh log2524 9.Cho log257 = a ,log25 = b hy tnh  EMBED Equation.3  10. Chng minh rng log186 + log26 = 2log186.log26 11.a)Cho lg5 = a ,lg3 = b tnh log308 b) Cho log615 = a ,log1218 = b tnh biu thc A = log2524 c) Cho log45147 = a ,log2175 = b , tnh biu thc A = log4975 12. Cho log275 = a , log87 = b , log23 = c .Tnh log635 theo a,b,c 13.Cho log23 = a , log35 = b , log72 = c .Tnh log14063 theo a,b,c 14.Cho a2 + b2 = 7ab a > 0, b > 0,chng minh rng : lg( eq \f(a + b,3) ) =  eq \f(1,2) ( lga + lgb ) 15.Cho a2 + 4b2 = 12ab a > 0, b > 0,chng minh rng: lg(a + 2b)  2lg2 =  eq \f(1,2) ( lga + lgb ) 16.a)Cho x2 + 4y2 = 12xy x > 0,y > 0, chng minh rng lg(x + 2y)  2lg2 =  eq \f(1,2) (lgx + lgy) b) Cho a,b > 0 tho mn 4a2 + 9b2 = 4ab v s c > 0,( 1,chng minh rng : logc eq \f(2a + 3b,4)  =  eq \f(logca + logcb,2)  17.Cho log1218 = a , log2454 = b ,chng minh rng ab + 5(a  b) = 1 18.Cho logaba = 2 , tnh biu thc A = logab eq \f(b,\r(a))  18. Chng minh rng : a)  EMBED Equation.3  b)  eq \f(logac,logabc) = 1 + logab c) logad.logbd + logbd.logcd + logcd.logad =  eq \f(logad.logbd.logcd,logabcd)  19.Cho a,b,c,N > 0,( 1 tho mn: b2 = ac . Chng minh rng :  eq \f(logaN  logbN,logbN  logcN) = \f(logaN,logcN)  19.Cho  EMBED Equation.3   EMBED Equation.3 ,  EMBED Equation.3  . Chng minh rng :  EMBED Equation.3  20.So snh cc cp s sau: a) log43 v log56 b)  EMBED Equation.3  v  EMBED Equation.3  c) log54 v log45 d) log231 v log527 e) log59 v log311 f) log710 v log512 g) log56 v log67 h) logn(n + 1) v log(n + 1)(n + 2) 20.Tm min xc nh ca cc hm s sau: a)y = log6 eq \f(3x + 2,1  x)  b) y =  eq \r(lgx + lg(x + 2) )  c) y =  eq \r(lg(x  1) + lg(x + 1) )  21.a) Cho a > 1. Chng minh rng : loga(a + 1) > loga +1(a + 2) b)T  suy ra log1719 > log1920 Phng trnh mi 1.Gii cc phng trnh sau: a) 22x  4 =  EMBED Equation.3  b)3x  2 = 2 c)0,125.42x  3 =  EMBED Equation.3  d) EMBED Equation.3  e) 2x.5x  1 =  eq \f(1,5) .102  x f) 2x.3x  1.5 x  2 = 12 g)  EMBED Equation.3  = 1 h)  EMBED Equation.3  = 1 i) ( eq \r(x  x2 ) )x  2 = 1 j)  EMBED Equation.3 = 1 2.Gii cc phng trnh sau: a) EMBED Equation.3  b) EMBED Equation.3  c) 9x  2x + 1 = 2x + 2  32x  1 d) EMBED Equation.3  = 36.32  x 3.Gii cc phng trnh sau: a) 2x  4x  1 = 1 b) 5x  1 + 5  x+3 = 26 c)92x 32x 6 = 0 c)4x + 1 16x = 2log48 d)2x 1 22 x =  eq \f(7,2)  e)3x + 1 + 32 x = 28 f)  eq \f(8x + 2x,4x 2)  = 5 g)8x + 18x = 2.27x h) EMBED Equation.3  i) j)(7 + 4 eq \r(3) )x + 3(2  eq \r(3) )x + 2 = 0 k) EMBED Equation.3  l) EMBED Equation.3  m) 32x + 1 = 3x + 2 +  eq \r(1 6.3x + 32(x + 1) )  n) EMBED Equation.3  o) (26 + 15 eq \r(3) )x + 2(7 + 4 eq \r(3) )x 2(2  eq \r(3) )x = 1 4.Gii cc phng trnh sau: a) 3.4x +2.9x = 5.6x b)6.9x  13.6x + 6.4x = 0 c)4.9x  6x = 18.4x d) 5.36x = 3.16x + 2.81x e) 3.2 2lnx + 4.6lnx  4.3 2lnx = 0 f)3x + 1 +  eq \r(6) x  2x + 1 = 0 g)  EMBED Equation.3  h)  EMBED Equation.3  i) EMBED Equation.3  j) 5.32x  1  7.3x  1 +  eq \r(1  6.3x + 9x + 1)  = 0 k) (3 +  eq \r(5) )x + 16(3   eq \r(5) )x = 2x + 3 5.Gii cc phng trnh sau: a)3x = 13  2x b) 3x =  x + 11 c)4x  3x = 1 d)2x = 3x/2 + 1 e)2x = 3x  5 f)3x = 5x/2 + 4 g) 3x 1 =34  5x 1 h)52x = 32x + 2.5x + 2.3x i) 1 + 26x + 24x = 34x h) (2   eq \r(3) )x + (2 +  eq \r(3) )x = 4x 6.Gii cc phng trnh sau: a) 3.4x + (3x 10).2x + 3 x = 0 b) 9x + 2(x 2).3x + 2x 5 = 0 c) 25x 2(3 x).5x + 2x 7 = 0 d) x2 (3 2x )x + 2 2x +1 = 0 e) 3.25x 2 + (3x 10).5x 2 + 3 x = 0 f) 2x1  EMBED Equation.3 = (x 1)2 f) (4x 1)2 + 2x + 1(4x 1) = 8.4x  $(.268@DJ     $ 4 6 : < X Z n t ~     ! $ ' * 1 2 ; h'VKh'VK5H*aJjh'VKh'VK5UaJh'VKh'VK5aJh'VKh'VK5B*aJphfh'VK5B*aJphfh'VKh'VK5B*CJphh 5B*CJphA L o  2 ( hsXL_ 7]`7gd'VKgd'VK $@&a$gd'VK; > A D F G H I M P Q R T W [ ^ ` c d e 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h'VKh'VK5CJUVaJh'VKh'VK5H*h'VKh'VK5jh'VKh'VK5UKEEEEEE F FFFFFDFFFHFJFLFNFRFTFzF|F~FFFFFFFFFFFFFFGG*G,G.G0GDGFGZG\G^G`GhGtGG;j]Gh'VKh'VK5EHUjfc7E h'VKh'VK5UVjEh'VKh'VK5EHUjc7E h'VKh'VK5UVj=Bh'VKh'VK5EHU&jcF h'VKh'VK5CJUVaJjh'VKh'VK5Uh'VKh'VK5h'VKh'VK5H*2GGGG&H(H0H2HBHDHLHRHvHxHHHHHHHHHHHIIII*I,I8I 3 x e)  EMBED Equation.3  e)  EMBED Equation.3  <  eq \f(25,4)  f)  EMBED Equation.3  g) 4x  3.2x + 2 <0 h) ( eq \f(1,4) )x  1  ( eq \f(1,16) )x > 3 i) 4x2 +  EMBED Equation.3  < 2. EMBED Equation.3  + 2x + 6 j) 4x2 + x EMBED Equation.3  k) EMBED Equation.3  > 0 l)  EMBED Equation.3  <  EMBED Equation.3  m)  eq \f(2.3x  2x+2,3x  2x ) ( 1 n)  eq \r(8 + 21+ x  4x ) + 21+ x > 5 o)  EMBED Equation.3  ( 1 p) (  eq \f(1,4) )x  1  (  eq \f(1,16) )x > 2log48 2.Cho bt phng trnh : 4x  1  m(2x +1) > 0 a)Gii bt phng trnh khi m = 16/9 b)Xc nh m  bt phng trnh tho mn ( x ( R 3*.Tm m  : a)m.4x + (m  1)2x + 2 + m  1 > 0 (x b)m.9x  (2m + 1)6x  4x < 0 (x ( [0;1] c)4x - m2x + m + 3 < 0 c nghim d) (m  1).4x + 2(m - 3)2x + m + 3 < 0 c nghim 4*.Cho 2 bt phng trnh :  EMBED Equation.3  > 12 (1) v 2x2 + (m + 2)x + 2  3m <0 (2) Tm m  mi nghim ca (1) u l nghim ca (2) Phng trnh logrit **Phng trnh c bn: logaf(x) = logag(x) (  EMBED Equation.3  logaf(x) = b ( f(x) = ab **Cc cng thc logarit: 1) loga1 = 0 logaa = 1 2) EMBED Equation.3  3) logaab = b 4) EMBED Equation.3  5) EMBED Equation.3  6) Vi A>0,B>0 loga(A.B) = logaA + logaB loga(A/B) = logaA - logaB 7) cng thc i c s : logab =  eq \f(logcb,logca)  hay logab = logac.logcb 1.Gii cc phng trnh sau: a) log3 eq \b\bc(\f(x2 + 6x + 9,2x + 2)) = log3(x + 1) b) lg(x2  6x + 7) = lg(x  3) c) log2(x2  x  9) = log2(2x  1) d) EMBED Equation.3  e)  EMBED Equation.3  f)log3(2x + 1)(x  3) = 2 g) log3(2x + 1) + log3(x  3) = 2 h) log5(x2  11x + 43) = 2 i) log5 x(x2  2x + 65) = 2 j) log3[log2(log4x)] = 0 k) log2{3 + log6[4 + log2 (2 + log3x)]} = 2 l) log4{2log3[1 + log2(1 + 3log2x)]} =  eq \f(1,2)  m) EMBED Equation.3  n) 8lgx  3.4lgx  6.2lgx + 8 = 0 EMBED Equation.3  o) log2(25x+3  1) = 2 + log2(5x+3 + 1) p) log3x + log9x + log27x = 11 q)  eq \F(log3x,log93x)  =  eq \F(log279x,log24327x)  r) EMBED Equation.3  s) log2x + 2log7x = 2 + log2x.log7x t)  eq \f(1,2) log2(x  1)2 +  EMBED Equation.3  = log2(3  x) u) EMBED Equation.3  v)log2(3x  1) +  eq \f(1,log(x +3)2) = 2 + log2(x + 1) w) log27(x2  5x + 6)3 =  EMBED Equation.3 log9(x  3)2 .Gii cc phng trnh sau: a) log3x + log9x + log27x = 11 b)log8x + log64x =  eq \f(1,2)  c) log3x + log9x + log81x =  eq \f(7,2)  d) log2x + log4x =  EMBED Equation.3  e) log5x + log25x =  EMBED Equation.3  f) log4(x + 3)  log4(x  1) = 2  log48 g) lg(x + 10) + lg(2x  1)  lg(21x  20) = 1  lg5 h) log5x = log5(x + 6)  log5(x + 2) i) log4(log2x) + log2(log4x) = 2 j) log2x + log3x + log4x = log20x .Gii cc phng trnh sau: a) (log2x)2  3log2x = log2x2  4 b) EMBED Equation.3  c)  EMBED Equation.3  d) EMBED Equation.3  e) log2(2x + 1).log2(2x+1 + 2) = 6 2.Gii cc phng trnh sau: a)  EMBED Equation.3  b) EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f) 5lnx = 50  xln5 g)  EMBED Equation.3  h) log5x.log3x = log5x + log3x 3.Gii cc phng trnh sau : a) logx[log4(2x + 6)] = 1 b) logx[log9(2.3x + 3)] = 1 c) EMBED Equation.3  d)  EMBED Equation.3  e) EMBED Equation.3  f)  EMBED Equation.3  g) EMBED Equation.3  h)  EMBED Equation.3  3.Gii cc phng trnh sau: a)  EMBED Equation.3  0 b) EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e) EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  4.Gii cc bt phng trnh sau: a)  EMBED Equation.3  b) EMBED Equation.3  c)  EMBED Equation.3  d) EMBED Equation.3  e) EMBED Equation.3  f) EMBED Equation.3  g)  EMBED Equation.3  h) EMBED Equation.3  > 1 i)  EMBED Equation.3 > 1 j) EMBED Equation.3  >  EMBED Equation.3  k)  EMBED Equation.3  l)  EMBED Equation.3  .Tm min xc nh ca cc hm s a) y =  eq \r(4log2x  (log2\f(1,x))2  3 )  +  eq \r(x2  7x + 6 )  b) y = lg(5x2  8x  4) + (x + 3) 0,5 c) y =  eq \r(lg\b\bc(\f(1  2x,x + 3)) )  d) y =  EMBED Equation.3  e) y =  EMBED Equation.3  5.Cho phng trnh :  EMBED Equation.3  a)Gii phng trnh khi m = 2 b)Tm  phng trnh c nghim x( EMBED Equation.3  6.Tm m  cc phng trnh sau c nghim duynht : a)  EMBED Equation.3  b)  eq \f(log5(mx),log5(x + 1))  = 2 7.Tm m  phng trnh :  EMBED Equation.3  l h qu ca phng trnh :  EMBED Equation.3  8. Xc nh m  tng bnh phng cc nghim ca phng trnh : 2log4(2x2  x + 2m  4m2)  log2(x2 + mx  2m2) = 0 ln hn 1 9. Vi gi tr no ca m th bt phng trnh log2(x2  2x + m) < 3 C nghim v mi nghim ca n u khng thuc min xc nh ca hm s y =  eq \r(logx(x3 + 1).logx+1x - 2 )  10. Tm x  phng trnh :  EMBED Equation.3   EMBED Equation.3 c tho mn vi mi a 11.Tm y  bt phng trnh sau y c nghim ng ( x: (2  log2 eq \f(y,y + 1) )x2  2(1 + log2 eq \f(y,y + 1) )x  2(1 + log2 eq \f(y,y + 1) ) > 0 12.a)Gii h bt phng trnh  EMBED Equation.3  (1) b)Tm cc gi tr ca m  phng trnh m.2 2x  (2m + 1)2- x m + 4 = 0 c hai nghim phn bit x1,x2 (x1 < x2 ) sao EMBED Equation.3  cho x1 nm ngoi v x2 nm trong khong nghim ca h (1) 13.a)Gii bt phng trnh  eq \f(loga(35 - x3),loga(5 - x))  > 3 (1) a l tham s > 0; ( 1 b)Tm cc gi tr ca m sao cho mi nghim ca (1) cing l nghim ca bt phng trnh : 1 + log5(x2 + 1)  log5(x2 + 4x + m) > 0 (2) 14.Vi gi tr no ca a th bt phng trnh log2a +1(2x - 1) + loga(x + 3) > 0 c tho mn ng thi ti x = 1 v x = 4 15.Gii bt phng trnh: (2 +  eq \r(x2  7x + 12 ) )( eq \f(2,x)   1) ( ( eq \r(14x  2x2  24 ) + 2)logx eq \f(2,x)  16.Cho h phng trnh  EMBED Equation.3  a l tham s a)Gii h khi a = 2 b)Xc nh a  h c nghim .Gii cc h phng trnh : a) EMBED Equation.3  b) EMBED Equation.3  BDFHޭ 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1+2log 9 2log 9 x"1=_1180935146F0nS0nSOle CompObjfObjInfoEquation Native _1184671470=F0nS0nSOle CompObjf2log x 3.log 9 (12"x) FMicrosoft Equation 3.0 DS Equation Equation.39qD܀ log 12 (x+4)ObjInfoEquation Native `_1183614163F0nS0nSOle     #&'*-.14569<=@CDGJKNQRUXYZ]`adghknopsvwxy| FMicrosoft Equation 3.0 DS Equation Equation.39q}p log 2 (4 x +4)=x"log 12 (2 x+1 "3)CompObjfObjInfoEquation Native _1184502152F0nS0nSOle CompObjfObjInfo Equation Native   FMicrosoft Equation 3.0 DS Equation Equation.39q\jhq 12log  3   x"12()+ FMicrosoft Equation 3.0 DS Eq_1180935452F0nS0nSOle CompObjfObjInfouation Equation.39qX=ua log 12  3  FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native Y_1180935519F0nS0nSOle CompObjfObjInfoEquation Native T_1186379498F0nS0nSOle X8Hg log 0,2  3  FMicrosoft Equation 3.0 DS Equation Equation.39qZ) log 13 x"3. log 13CompObjfObjInfoEquation Native _1181969990F0nS0nS x  +2=0 FMicrosoft Equation 3.0 DS Equation Equation.39qgh (log  2   x) 2 +3log 2 x+log 12 x=2Ole !CompObj"fObjInfo$Equation Native %_1181970149F0nS0nSOle (CompObj)fObjInfo+ FMicrosoft Equation 3.0 DS Equation Equation.39qgX|I log 12 (4x)[] 2 +log 2 x 2 8=8Equation Native ,_1180935152F0nS0nSOle /CompObj0f FMicrosoft Equation 3.0 DS Equation Equation.39qX` log x 3+log 3 x=log  x   3+log 3  x  +12ObjInfo2Equation Native 3_1182234089F0nS0nSOle 7CompObj8fObjInfo:Equation Native ;_1180935155F0nS0nS FMicrosoft Equation 3.0 DS Equation Equation.39q|8K log x 2  (2+x)+log  2+x   x=2 FMicrosoft Equation 3.0 DS EqOle >CompObj?fObjInfoAEquation Native Buation Equation.39qX  log 3x+7 (5x+3)+log 5x+3 (3x+7)=2 FMicrosoft Equation 3.0 DS Equation Equation.39q_1186379561F0nS0nSOle ECompObjFfObjInfoHZkP log x 2  16+log 2x 64=3 FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native I_1180935161$F0nS0nSOle LCompObjMfObjInfoOEquation Native P_1186379635!F0nS0nSOle SXH4 3log x 4+2log 4x 4+3log 16x 4=0 FMicrosoft Equation 3.0 DS Equation Equation.39q4 log x  CompObj TfObjInfo VEquation Native W_1180935167 F0nSІnS5  +log x (5x)"2,25=(log x  5  ) 2 FMicrosoft Equation 3.0 DS Equation Equation.39qX 4 2.x loOle [CompObj \fObjInfo^Equation Native _g 2 x +2.x "3log 8 x "5=0 FMicrosoft Equation 3.0 DS Equation Equation.39qZ log 12 (4x)() 2 +l_1186379462FІnSІnSOle bCompObjcfObjInfoeEquation Native f_1186379634FІnSІnSOle iCompObjjfog 2 x 2 8=8 FMicrosoft Equation 3.0 DS Equation Equation.39q@T log  5   (4 x "6)"log 5 (2 x "2) 2 =2ObjInfolEquation Native m_1186379633FІnSІnSOle q FMicrosoft Equation 3.0 DS Equation Equation.39q log 3 (3x).log 2 x"log 3 (x 3  3 CompObjrfObjInfotEquation Native u _1180935186!FІnSІnS )=12+log 2  x  FMicrosoft Equation 3.0 DS Equation Equation.39qX~`4 log x+3 (3" 1"2x+x 2 Ole zCompObj "{fObjInfo#}Equation Native ~)=12 FMicrosoft Equation 3.0 DS Equation Equation.39qX4 log 7"x 2  3sin2x"2sinxsin2x.cosx(_1180935174 )&FІnSІnSOle CompObj%'fObjInfo(Equation Native _1180935191G+FІnSІnSOle CompObj*,f)=log 7"x 2  2 FMicrosoft Equation 3.0 DS Equation Equation.39qX 4 log 3 (sinx2"sinx)+log 13 (sinx2ObjInfo-Equation Native _1184670759380FІnSІnSOle +cosx)=0 FMicrosoft Equation 3.0 DS Equation Equation.39qvhp log 22 x+(x"1)log 2 x=6"2xCompObj/1fObjInfo2Equation Native _11846707385FІnSІnSOle CompObj46fObjInfo7Equation Native  FMicrosoft Equation 3.0 DS Equation Equation.39q (x+2)log 32 (x+1)+4(x+1)log 3 (x+1)"16=0_1184670772:FІnSІnSOle CompObj9;fObjInfo< FMicrosoft Equation 3.0 DS Equation Equation.39qc log 2 (1+ x  )=log 3 x FMicrosoft Equation 3.0 DS EqEquation Native _1184670775.?FІnSІnSOle CompObj>@fuation Equation.39qw# log 3 (x 2 "3x"13)=log 2 x FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoAEquation Native _1184670789DFІnSІnSOle CompObjCEfObjInfoFEquation Native _1180935197LIFІnSІnSw] log 4 (x 2 "x"8)=log 3 x+1 FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObjHJfObjInfoKEquation Native XyH4 log 2 (cosx)=2log 3 (cotgx) FMicrosoft Equation 3.0 DS Equation Equation.39qX4 2log 2_1180935202NFІnSІnSOle 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