Explanation
we are asked to evaluate
[tex]log_79^{\:}[/tex]We will follow the steps below
[tex]\begin{gathered} step\text{ 1} \\ \mathrm{Factor\:the\:number:\:}\:9=3^2 \\ \\ log_79=\log_7\left(3^2\right) \end{gathered}[/tex][tex]\begin{gathered} step\text{ 2} \\ \mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0 \\ \\ \log _7\left(3^2\right)=2\log _7\left(3\right) \\ \end{gathered}[/tex][tex]\begin{gathered} step\text{ 3} \\ \\ simplify \\ \\ 2\log_7\left(3\right)=1.129 \end{gathered}[/tex]Therefore, the answer is 1.13
