Question

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

$3^3=27$

Short answer

The logarithmic form is

${\log }_3\left(27\right)=3$.

Step-by-step solution

Step 1. Given information.

The given expression is

$3^3=27$

Step 2. Converting into the logarithmic form.

$$\begin{gathered} 3^3=27 \\ {a}^y=x \\ {\log }_a\left(x\right)=y \\ {\log }_3\left(27\right)=3 \end{gathered}$$

Therefore, the logarithmic form is

${\log }_3\left(27\right)=3$.