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Math Help - Logs: What is b/a?

  1. #1
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    Logs: What is b/a?

    This isn't a homework question. I just want to know how to do this out of curiosity. It looks like something my teacher would put on a quiz, lol.
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  2. #2
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    You need to find \displaystyle\frac{b}{a} such that \displaystyle\log_9a   = \log_{12}b = \log_{16}(a+b)

    Now looking at the first part of the equation \displaystyle\log_9a   = \log_{12}b

    For these to be equal \displaystyle a = 1 and  b = 1 , are there any other values that work?

    but does this hold for the third part of the equation?
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