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

$9$
Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $\log_{6}6^9 ,$ is equivalent to \begin{array}{l}\require{cancel} 9\log_{6}6 .\end{array} Since $\log_bb=1,$ the expression, $\log_{6}6 ,$ simplifies to $1$. \begin{array}{l}\require{cancel} 9(1) \\\\= 9 .\end{array}