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

$2$
Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $\log_{10}100 ,$ is \begin{array}{l}\require{cancel} \log_{10}10^2 \\\\= 2\log_{10}10 .\end{array} Since the $\log_bb=1,$ the expression, $3\log_{10}10 ,$ simplifies to \begin{array}{l}\require{cancel} 2(1) \\\\= 2 .\end{array}