Question

In the following exercises, convert from exponential to logarithmic form.

$4^2=16$

Short answer

The logarithmic form is

${\log }_4\left(16\right)=2$.

Step-by-step solution

Step 1. Given information.

The given expression is,

$4^2=16$.

Step 2. Converting into the logarithmic form.

$$\begin{gathered} 4^2=16 \\ {a}^y=x \\ {\log }_a\left(x\right)=y \\ {\log }_4\left(16\right)=2 \end{gathered}$$

Therefore, the logarithmic form is

${\log }_4\left(16\right)=2$.