Answer
$$\log _{10}\left(x\left(x+1\right)^2\right)$$
Work Step by Step
Using the rules of logarithms, we find:
$$\log _{10}\left(x\right)+2\log _{10}\left(x+1\right) \\ \log _{10}\left(x\right)+\log _{10}\left(\left(x+1\right)^2\right) \\ \log _{10}\left(x\left(x+1\right)^2\right)$$
