## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$-5$
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}