ࡱ> uwt 4bjbj <@ P??MMMMM4MMMh$NLpN,M}`<NLN:"O"O"O2S2S2S^______$dkgX_]M2SR@R@2S2S_MM"O"O7`VVV2SRMR"OM"O%]V2S^VVQZ\fM"\"OyBS2\]M`0}`\gU|g4\gM\02S2SV2S2S2S2S2S__2V2S2S2S}`2S2S2S2Sg2S2S2S2S2S2S2S2S2S? K: Worksheet A-B: Side A Properties of Logarithms Section 1: Express as a single logarithm. Simplify, if possible. 1. log3 9 + log3 27 2. log2 16 + log2 4 3. log5 125 + log5 25 log3 (9 27) = log3 243 log2 (16 4) = log2 ____ log5 (125 25) = log5 _____ 3 x = 243, so x = ______ 2x = ____, so x = ________ 5x = _____, so x = ____ 4. log10 250 + log10 40 5. log6 3 + log6 2 6. log8 16 + log8 4 Section 2: Express as a single logarithm. Simplify, if possible. 7. log5 250 - log5 10 8. log3 21 - log3 7 9. log2 160 - log2 5 10. log4 128 - log4 8 11. log6 72 - log6 2 12. log5 1000 - log5 8 Section 3: Simplify, if possible. 13. log6 362 14. log5 54 15. log2 83 2 log6 36 4 log5 5 3 log2 8 2 2 = _____________ ___________________ ___________________ 16. log3 34 17. log4 644 18. log8 82 Section 4: Evaluate. Round to the nearest hundredth. 19. log5 13 20. log3 7 21. log8 21 Section 5: Solve. 22. The Richter magnitude of an earthquake, M, is related to the energy released in ergs, E, by the formula  EMBED Equation.DSMT4  Find the energy released by an earthquake of magnitude 6.8. Worksheet A-B: Side B Properties of Logarithms Section 1: Express as a single logarithm. Simplify, if possible. 1. log6 8 + log6 27 2. log3 6 + log3 13.5 3. log4 32 + log4 128 Section 2: Express as a single logarithm. Simplify, if possible. 4. log2 80 - log2 10 5. log10 4000 - log10 40 6. log4 384 - log4 6 7. log2 1920 - log2 30 8. log3 486 - log3 2 9. log6 180 - log6 5 Section 3: Simplify, if possible. 10. log4 46 11. log5 5 x - 5 12.  EMBED Equation.DSMT4  13.  EMBED Equation.DSMT4  14. log8 85 15. log3 94 Section 4: Evaluate. Round to the nearest hundredth. 16. log12 1 17. log3 30 18. log5 10 Section 5: Solve. 19. The Richter magnitude of an earthquake, M, is related to the energy released in ergs, E, by the formula  EMBED Equation.DSMT4  Find the energy released by an earthquake of magnitude 4.2. LESSON 7-4 Practice A 1. 4 2. 64; 64; 6 3. 3125; 3125; 5 4. log10 10,000 ,`v     " $ , . 4 8 @ B L N V X j l n p t v | ~     ( h&6H*]h&0J CJ OJQJ h&EHh&0J5\h&0JOJQJ h&H*h05hh&h jh&CJUmHnHuC.``  ( 4 6 B  h >Dy $ G  XP  T$ (  G  P] $ ( * , . B D F H \ ^ ` b z | ~     " 4 J      $ & . 0 R T ^ ` h j p v ~ h05hh&0J5\ h&H* h&0J h&0JH*h&0JOJQJh& h&6]P ( * 0 2 6 < D F J L P V ^ ` d f v x !"$'+,/0259:<=DOXx#$jh&0JU h&6]h&B*phh&0J CJ OJQJ h&H*h05hh&0JOJQJ h&H*h&h&0J5\G$;<=>{|}~   "(*24@DLNVX`bx &*26BDLPX\dfprz|þh 0J5\h 0JOJQJ h H*h05hh jh CJUmHnHu h>* h&>*h&jh&0JUjh&0J6EHU])j-N h&CJOJQJUV^JaJ h&0J8}lxbfr+G  gd XPgd  $ gd G  P]gd  $ gd  $ gd  $$|  4rtxz~*,.0jfh EHU)jG < h CJOJQJUV^JaJjyh EHU)jk < h CJOJQJUV^JaJjh Uh 0JH*OJQJh 6H*] h H*h05hh 0J5\h 0JOJQJ h H*h 3028@BFHLRZ\`br $XY  4y'hh0J5B*CJ\aJph+hhCJOJQJ^JaJmH sH * hh h >*jQ h EHU)j-N h CJOJQJUV^JaJjh U h 6]h B*phh05h h H* h H*h 0J5\h -+ *D***++8+T+z+++,L,,,-R-t----]1$gd1$@&gd[1$gd  $l$gd 46***** *2*4*<*>*R*T*\*^*p*r*x*z*****************+++++++++++++,,$,&,8,:,D,F,Z,\,d,f,x,z,,,,,,'hh0J5B*CJ\aJph+hhCJOJQJ^JaJmH sH *hhH*hh0J 5OJQJ\U hhhhH*D= 4 5. log6 6 = 1 6. log8 64 = 2 7. log5 25 = 2 8. log3 3 = 1 9. log2 32 = 5 10. log4 16 = 2 11. log6 36 = 2 12. log5 125 = 3 13. 4 14. 4 15. 9 16. 4 17. 12 18. 2 19. 1.59 20. 1.77 21. 1.46 22. 1022 ergs Practice B 1. log3 243 = 5 2. log2 128 = 7 3. log10 10,000 = 4 4. log6 216 = 3 5. log3 81 = 4 6. log4 4096 = 6 7. log2 8 = 3 8. log10 100 = 2 9. log4 64 = 3 10. log2 64 = 6 11. log3 243 = 5 12. log6 36 = 2 13. 6 14. x - 5 15. 30 16. 1 17. 5 18. 8 19. 0 20. 3.10 21. 1.43 22. 1.26 1018.1 ergs      Name Date Class Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 7-27 Holt Algebra 2 Name Date Class Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 7-28 Holt Algebra 2   PAGE 2 Copyright by Harcourt Achieve and Stephen Hake. All rights reserved. Saxon Math Course [#] Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. A PAGE 85 Holt Algebra 2 Name Date Class Original content Copyright by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.  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