Answer:
[tex]\begin{gathered} \log (10^5)=5\cdot\log (10) \\ \log (10^5)=5 \end{gathered}[/tex]
Step-by-step explanation:
The power rule for logarithms states that:
[tex]\text{log}_b(x^y)=y\cdot\log _b(x)[/tex]
Therefore,
[tex]\begin{gathered} \log (10^5)=5\cdot\log (10) \\ \log (10^5)=5 \end{gathered}[/tex]
