Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 49

$\log_a (x^8z^3)$

Using the properties of logarithms, the given expression, $ 8\log_a x+3\log_a z ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a x^8+\log_a z^3 \\\\= \log_a (x^8\cdot z^3) \\\\= \log_a (x^8z^3) .\end{array}