Answer
$\dfrac{5}{4}$
Work Step by Step
Recall:
(1) $\log_a{x}-\log_a{y}=\log_a{\left(\frac{x}{y}\right)}$
(2) $a^{\log_a{b}}=b$
Use rule (1) above to obtain:
\begin{align*}
3^{\log_3{5}-\log_3{4}}&=3^{\log_3{\left(\frac{5}{4}\right)}}
\end{align*}
Use rule (2) above to obtain:
\begin{align*}
3^{\log_3{\left(\frac{5}{4}\right)}}&=\frac{5}{4}
\end{align*}