Answer
$$ \ln \left(x\right)+2\ln \left(y\right)-\ln \left(z\right)$$
Work Step by Step
Using the rules of logarithms, we find:
$$\ln \left(xy^2\right)-\ln \left(z\right) \\ \ln \left(x\right)+\ln \left(y^2\right)-\ln \left(z\right) \\ \ln \left(x\right)+2\ln \left(y\right)-\ln \left(z\right)$$