Answer
$= \frac{1}{2}\ln 5 + \frac{3}{2}\ln a + \frac{5}{2}\ln b- 4 \ln c$
Work Step by Step
$= \ln (\frac{\sqrt {5a^{3}b^{5}}}{c^{4}})$
$= \ln \sqrt {5a^{3}b^{5}}- \ln c^{4}$
$= \ln (5a^{3}b^{5})^{\frac{1}{2}}- 4 \ln c$
$= \frac{1}{2}\ln (5a^{3}b^{5})- 4 \ln c$
$= \frac{1}{2}\ln 5 + \frac{1}{2}\ln a^{3} + \frac{1}{2}\ln b^{5}- 4 \ln c$
$= \frac{1}{2}\ln 5 + \frac{3}{2}\ln a + \frac{5}{2}\ln b- 4 \ln c$
