Answer
$\log_3\frac{45}{49}=2+\log_35-2\log_37$
Work Step by Step
Use the Quotient Property, the Product Property and the Power Property. Also remember that $\log_aa=1$:
$\log_3\frac{45}{49}=\log_345-\log_349=\log_3(3^2·5)-\log_37^2=\log_33^2+\log_35-2\log_37=2\log_33+\log_35-2\log_37=2(1)+\log_35-2\log_37=2+\log_35-2\log_37$
