Find the value of: _5 1 25 - Vidyadip

Question

Find the value of: $\log _5 \frac{1}{25}$

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Answer

$\log _5 \frac{1}{25} $
Let $\log _5 \frac{1}{25}= x $
$ \Rightarrow 5^{ x }=\frac{1}{25} $
$\Rightarrow 5^{ x }=5^{-2}$
$ \therefore x =-2 .$

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