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$$3\log_{10}(x-15) = \left(\frac{1}{4}\right)^x$$

I am completely lost on how to proceed. Could someone explain how to find any real solution to the above equation?

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    Is the log a natural log? Or base 10?2012-10-11
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    @ncmathsadist Sorry, I should have specified. Its base 10.2012-10-11
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    Are you looking for real solutions or complex solutions?2012-10-11
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    @S.B. I am looking for all real solutions.2012-10-11
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    @abc: It can have at most one real solution, because the LHS is strictly increasing while the RHS is strictly decreasing (actually, it has exactly one solution). Obviously you must look at $x>15$. I'm not sure if you can find a solution explicitly, but you can solve it numerically.2012-10-11
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    http://www.wolframalpha.com/input/?i=solve%283*log_10%28x-15%29%3D2%5E%28-2x%29%2Cx%292012-10-11

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