Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 38

$\log_a x+2\log_ay-3\log_az$

Using the properties of logarithms, the given expression, $ \log_a(xy^2z^{-3}) ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a x+\log_ay^2+\log_az^{-3} \\\\= \log_a x+2\log_ay-3\log_az .\end{array}