Answer
$=\log_4(\sqrt[3] {\frac{x}{y}}(x+1)^{2})$
Work Step by Step
$= \frac{1}{3}(\log_4x-\log_4y)+2\log_4(x+1)$
$= \frac{1}{3}(\log_4\frac{x}{y})+\log_4(x+1)^{2}$
$= \log_4(\frac{x}{y})^{\frac{1}{3}}+\log_4(x+1)^{2}$
$= \log_4(\sqrt[3] {\frac{x}{y}})+\log_4(x+1)^{2}$
$=\log_4(\sqrt[3] {\frac{x}{y}}(x+1)^{2})$
