<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B5%7D%20%29%20%7B%7D%5E%7Bx%7D%20%3D%20125" id="TexFormula1" title="( \f

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Gnoma [55]

3 years ago

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

Mathematics

1 answer:

anzhelika [568]3 years ago

8 0

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

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