Question

the value of x, if
$( \frac{6}{5})^{x} ( \frac{5}{6}) ^{2x} = \frac{125}{216} \: is$
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Answer 1

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Answer 2

Answer:

3

Step-by-step explanation:

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

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

$( \frac{6}{5})^{x + (-2x) } = \frac{5^3}{6^3}$

$( \frac{6}{5})^{-x } = ( \frac{5}{6} ) ^3$

$( \frac{5}{6})^{x } =( \frac{5}{6} ) ^3$

As the bases are same we compare the powers,

x = 3

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