Question

Convert each logarithmic equation to exponential form:

$3={\log }_4\left(64\right)$.

Short answer

The exponential form is,

$64=4^3$.

Step-by-step solution

Step 1. Given the information.

The logarithmic equation is,

$3={\log }_4\left(64\right)$.

Step 2. Converting to exponential form.

$$\begin{gathered} 3={\log }_4\left(64\right) \\ x=a^y \\ 64=4^3. \end{gathered}$$

If $3={\log }_4\left(64\right)$,

then$64=4^3$.