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  • 12-03-2020
  • Mathematics
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[tex]( \frac{1}{5} ) {}^{x} = 125[/tex]


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nonsibi
nonsibi nonsibi
  • 12-03-2020

Well we know that...[tex]a^{-1}=\frac{1}{a^{1} }\\[/tex].

So...[tex](\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\[/tex].

Because [tex]5^{3}=125[/tex],

[tex]\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3[/tex]

answer: -3

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