Answer
$$\log _{10}\left(\frac{5x}{9}\right)$$
Work Step by Step
Using the rules of logarithms, we find:
$$\log _{10}\left(5x\right)-2\log _{10}\left(3\right) \\ \log _{10}\left(5x\right)-\log _{10}\left(3^2\right) \\ \log _{10}\left(\frac{5x}{3^2}\right) \\ \log _{10}\left(\frac{5x}{9}\right)$$