Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 70

$-5$

Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $ \log_{p}p^{-5} ,$ is equivalent to \begin{array}{l}\require{cancel} -5\log_{p}p .\end{array} Since $\log_pp=1,$ the expression, $ -5\log_{p}p ,$ simplifies to \begin{array}{l}\require{cancel} -5(1) \\\\= -5 .\end{array}