Answer
$\log_{2}\dfrac{1}{32}=-5$
Work Step by Step
Since $b^y=x$ is equivalent to $y=\log_bx,$ the given equation, $
2^{-5}=\dfrac{1}{32}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\log_{2}\dfrac{1}{32}=-5
.\end{array}
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