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Equation! Just do it. (Posted on 2019-01-07)

Solve the following equation (8^x + 27^x)/(12^x + 18^x) = 7/6

No Solution Yet Submitted by Danish Ahmed Khan

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solution

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Set a=2^x, b=3^x giving (a^3+b^3)/(ab)(a+b) = 7/6.

Then factor the numerator, divide out (a+b), and solve the resulting quadratic to find a=3b/2 or 2b/3 and x=-1 or 1.

Posted by xdog on 2019-01-07 09:23:47

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