Question

rac{1}{5} ) {}^{x} = 125" alt="( \frac{1}{5} ) {}^{x} = 125" align="absmiddle" class="latex-formula">


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Answer 1

Well we know that...$a^{-1}=\frac{1}{a^{1} }$.

So...$(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5$.

Because $5^{3}=125$,

$\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3$

answer: -3