Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 71

$m$

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