Answer
$\log_2{0.125}=-3$
Work Step by Step
RECALL:
$$a^b=y \longleftrightarrow \log_a{y}=b$$
Use the definition above to obtain:
\begin{align*}
2^{-3}&=0.125 \longleftrightarrow \log_2{0.125}=-3
\end{align*}
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