Answer
$\log_b{(x^2y^3)}$
Work Step by Step
RECALL:
(1) $\log_b{a}-\log_{c} = \log_c{(\frac{a}{c})}$
(2) $\log_{a} + \log_b{c} = \log_b{ac}$
(3) $a \cdot \log_b{x} = \log_b{x^{a}}$
Use rule (3) above to obtain:
$=\log_b{(x^2)}+\log_b{y^3}$
Use rule (2) above to obtain:
$=\log_b{(x^2y^3)}$
