Answer
$\log_b m-\log_b n$
Work Step by Step
Using $\log_b \dfrac{x}{y}=\log_b x-\log_b y$ (or the logarithm of a quotient), the given logarithmic equation, $
\log_b \dfrac{m}{n}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\log_b m-\log_b n
.\end{array}