Question

What is the value of $\log \left(100\right)$?

Answer 1

Find the value of $\log \left(100\right)$.

$\begin{array}{rcl}\log \left(100\right)& =& \log \left({10}^2\right)\\ & =& 2\log \left(10\right)\left\{\because \log a^b=b\log a\right\}\\ & =& 2\left(1\right)\left\{\because \log \left(10\right)=1\right\}\\ & =& 2\end{array}$

Hence, the value of $\log \left(100\right)$ is $2$.