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Simplification of Log/Exponent Expression

  1. Aug 30, 2009 #1
    1. The problem statement, all variables and given/known data

    Simplify the following:

    [log_3(2^x) * 3^(2x)]/e^(2lnx)

    3. The attempt at a solution

    e^(2lnx) = x^2
    Log_3(2^x) = xlog_3(2)

    Thus:

    = 3^(2x)*x*log_3(2) / x^2
    = [3^(2x)/x] * log_3(2)

    Am I missing anything here? I don't seem to find anyway to continue simplification, although the 3^2x seems like a weird choice if I cannot somehow use log_3(2) with it.
     
  2. jcsd
  3. Aug 30, 2009 #2

    tiny-tim

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    Hi moo5003! :smile:
    Looks fine to me! :smile:

    (apart from being difficult to read, that is :rolleyes: … try using the X2 and X2 tags just above the Reply box :wink:)
     
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