Question

Find the value of x, if (6/5)^x (5/6)^2x=125/ 216.

Answer 1

${ (\frac{6}{5} )}^{x} \times {( \frac{5}{6}) }^{2x} = \frac{125}{216} \\ { (\frac{5}{6} )}^{ - x} \times {( \frac{5}{6}) }^{2x} = \frac{125}{216} \\ {( \frac{5}{6}) }^{2x - x} = \frac{125}{216} \\ {( \frac{5}{6} )}^{x} = {( \frac{5}{6} )}^{3} \\ x = 3$

Answer 2

Answer:

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