Question

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

$5^4=625$.

Short answer

The logarithmic form is

${\log }_5\left(625\right)=4$.

Step-by-step solution

Step 1. Given information.

The given expression is

$5^4=625$.

Step 2. Converting into the logarithmic form.

$$\begin{gathered} 5^4=625 \\ {a}^y=x \\ {\log }_a\left(x\right)=y \\ {\log }_5\left(625\right)=4 \end{gathered}$$

Therefore, the logarithmic form is

${\log }_5\left(625\right)=4$.