Question

What is the value of $\log \left(16\right)$?

Answer 1

Find the value of $\log \left(16\right)$.

$\begin{array}{rcl}\log \left(16\right)& =& \log \left(2^4\right)\\ & =& 4\log 2\left\{\because \log a^b=b\log a\right\}\\ & =& 4\left(0.3010\right)\left\{\because \log 2=0.3010\right\}\\ & =& 1.204\end{array}$

Hence, the value of $\begin{array}{l}\log \left(16\right)\end{array}$is $1.204$.