Question

Which expressions are equivalent to the one below? Check all that apply.log(105)A. 5. log 10I B. 1C. 5.10D. 5

Answer 1

`\begin{gathered} \log (10^5)=5\cdot\log (10) \\ \log (10^5)=5 \end{gathered}`

Explanation:

The power rule for logarithms states that:

`\text{log}_b(x^y)=y\cdot\log _b(x)`

Therefore,

`\begin{gathered} \log (10^5)=5\cdot\log (10) \\ \log (10^5)=5 \end{gathered}`