Answer
$log_{10}\frac{1}{10}=-1$
Work Step by Step
We are given $10^{-1}=\frac{1}{10}$.
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$.
Therefore, $10^{-1}=\frac{1}{10}$ is equivalent to $log_{10}\frac{1}{10}=-1$.
