Answer
$\log{\left(\frac{x^2}{(x+1)^3}\right)}$
Work Step by Step
RECALL:
(1) $\log_b{P} + \log_b{Q} = \log_b{(PQ)}$
(2) $\log_b{P} - \log_b{Q} = \log_b{(\frac{P}{Q})}$
(3) $a(\log_b{x}) = \log_b{(x^a)}$
Use rule (3) above to obtain:
$=\log{(x^{2})}-\log{(x+1)^3}$
Use rule (2) above to obtain:
$=\log{\left(\frac{x^2}{(x+1)^3}\right)}$