Answer
$\dfrac{5}{4}$
Work Step by Step
Given: $3^{\log _{3} 5-\log _{3} 4}$
Use the rule $\log_aA-\log_aB=\log_a\left(\frac{A}{B}\right)$ to obtain:
$$3 ^{\log _{3}\left(\frac{5}{4}\right)}$$
Using the rule $a^{\log _{a} M}=M$ yields
$$3^{\log _{3}\left(\frac{5}{4}\right)}=\frac{5}{4}$$
