Answer
$$\log _{10}\left(\frac{x^5y}{z^3}\right)$$
Work Step by Step
Using the properties of logarithms, we find:
$$\log _{10}\left(x^5\right)+\log _{10}\left(y\right)-3\log _{10}\left(z\right)\\ \log _{10}\left(x^5y\right)-\log _{10}\left(z^3\right)\\ \log _{10}\left(\frac{x^5y}{z^3}\right)$$