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Math Help - Logarithm simplification help

  1. #1
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    Logarithm simplification help

    Hi all,

    I've just been working with logarithms and I've stumbled across a problem with one equation:

    log3(4)^2 + 3 log3(2)

    According to the book, the answer is log3(2), however I am not getting that when I equate the powers and receive log3(16) + log3(8), which equals log3(128).

    Any help solving this problem will be greatly appreciated!

    Thanks,

    Nathaniel
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  2. #2
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    Maybe it was meant to be

    \log_3(4)^2 - 3 \log_3(2) = \log_3(16) -  \log_3(8) =\log_3(16\div 8) = \log_3(2)
    Last edited by pickslides; November 21st 2010 at 01:35 AM. Reason: Bad Latex
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  3. #3
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    Thanks for the reply, picksides. Actually, funny thing, when I was writing the original question above, I accidentally put a negative sign instead. Well, when I evaluated I saw the answer was the same and for a moment I was joyful...

    But I think you're quite right.

    Thanks!
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