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Math Help - Logarithm

  1. #1
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    Logarithm

    This was found in my book:

    \log_4 y=\frac{\log_2 4}{\log_2 y}

    Why the answer is not \frac{\log_2 y}{\log_2 4}?

    Is there another formula to change base or my book is wrong?
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  2. #2
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    Quote Originally Posted by cloud5 View Post
    This was found in my book:

    \log_4 y=\frac{\log_2 4}{\log_2 y}

    Why the answer is not \frac{\log_2 y}{\log_2 4}?

    Is there another formula to change base or my book is wrong?
    I have no idea, as far as I know your book is wrong. The correct answer is the one you pointed out although \log_2(4) = 2 so it can be simplified
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