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Evaluating logarithms given log(a)b = 3

  1. Aug 28, 2012 #1
    Hi there

    Can someone please review my work and advise.

    1. The problem statement, all variables and given/known data

    Given log(a)b=3 , use the properties of logs to evaluate

    4log(a)(1/b)+2log(a)b^3

    2. Relevant equations

    I used the rules

    log(a)1 = 0

    log(a)(x/y) = log(a)x-log(a)y

    log(a)x^m = mlog(a)x

    3. The attempt at a solution

    =4loga1-4logab+2logab^3
    =-12+6*3
    =-12+18
    =6
     
  2. jcsd
  3. Aug 28, 2012 #2

    SammyS

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    That is correct !
     
  4. Aug 28, 2012 #3
    Thank you for your assistance.
     
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