Answer
$\log_{5} \frac{x^{3}}{ (x+1)^{2}}$
Work Step by Step
Step 1: $2\log_{5} x-2\log_{5} (x+1)+\log_{5} x$
Step 2: $\log_{5} x^{2}-\log_{5} (x+1)^{2}+\log_{5} x$
Step 3: $\log_{5} \frac{x^{2}}{ (x+1)^{2}}+\log_{5} x$
Step 4: $\log_{5} \frac{x^{2}\times x}{ (x+1)^{2}}$
Step 5: $\log_{5} \frac{x^{3}}{ (x+1)^{2}}$
