Answer
$= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \log_3 b + \frac{3}{2}\log_3 c$
Work Step by Step
$\log_3 (\sqrt {5ab^{2}c^{3}})$
$= \log_3 (5ab^{2}c^{3})^{\frac{1}{2}}$
$= \frac{1}{2}\log_3 (5ab^{2}c^{3})$
$= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \frac{1}{2}\log_3 b^{2} + \frac{1}{2}\log_3 c^{3}$
$= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \log_3 b + \frac{3}{2}\log_3 c$
