Question
Express the following logarithmic equations in exponential form:

$\log _5 \frac{1}{25}=-2$

Answer

$\quad \log _5\left(\frac{1}{25}\right)=-2$
$\therefore \quad \frac{1}{25}=5^{-2}$,i.e., $5^{-2}=\frac{1}{25}$

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