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Math Help - Logarithm Proof

  1. December 1st 2008, 01:23 PM #1
    chrozer
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    Logarithm Proof

    Show that \frac {\log_a x}{\log_\frac{a}{b}x} = 1 + \log_a\frac{1}{b}.
    I have no idea where to begin. I know some of the property rules of logarithms but, that did not help. Any ideas?
    Last edited by chrozer; December 1st 2008 at 03:44 PM.
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  2. December 1st 2008, 03:01 PM #2
    watchmath
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    Use the property that \log_a b=\frac{\log b}{\log a}
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  3. December 1st 2008, 03:43 PM #3
    chrozer
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    Quote Originally Posted by watchmath View Post
    Use the property that \log_a b=\frac{\log b}{\log a}
    Ok here's what I got so far. Working on the one side only I get
    \frac {\log 1}{\log a}-\frac {\log b}{\log a} +1 = \frac {\log_a x}{\log_\frac{a}{b}x}
    That's as far as I got.
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