Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 72

$t$

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