Question

Find the value of x .

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Answer 1

Answer:

$( \frac{3}{4} ) {}^{ - 9} \times ( \frac{3}{4} ) {}^{ - 7} = ( \frac{3}{4} ) {}^{4x} \\ when \: bases \: are \: same \: then \: the \: \\ powers \: are \: also \: same \: \\ - 9 - 7 = 4x \\ 4 x = - 16 \\ x = \frac{ - 16}{4} \\ x = - 4$