Answer
$-5$
Work Step by Step
The given expression is equivalent to:
\begin{align*}
&=\log_{10}{\left(\frac{1}{10^5}\right)}\\\\
&=\log_{10}{\left(10^{-5}\right)}
\end{align*}
RECALL:
$$\log_a{\left(a^n\right)}=n$$
Use the rule above to obtain:
\begin{align*}
\log_{10}{\left(10^{-5}\right)}&=-5
\end{align*}
