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Math Help - Solving log equation

  1. #1
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    Solving log equation

    How to find x in this equation:
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  2. #2
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    Quote Originally Posted by Garas View Post
    How to find x in this equation:
    There is no solution.

    \log_{15}(2/9)=\log_3x\implies x=3^{\log_{15}(2/9)}

    But \log_5(1-3^{\log_{15}(2/9)}) \ne \log_{15}(2/9)
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  3. #3
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    Those are two separate equations, log_{15}\frac{2}{9}= log_3 x and log_3 x= log_5(1- x). As undefined said, there is no value of x that satifies both. Was one of those "=" supposed to be "-" or "+"?
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  4. #4
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    no, that math problem was in a test for the entrance to the college
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