Answer
$2+\log_25-2\log_23$
Work Step by Step
Use the Product Property, the Quotient Property and the Power Property. Also remember that $\log_aa=1$:
$\log_2\frac{20}{9}=\log_220-\log_29=\log_2(2^2·5)-\log_23^2=\log_22^2+\log_25-2\log_23=2\log_22+\log_25-2\log_23=2(1)+\log_25-2\log_23=2+\log_25-2\log_23$
