Question

Convert each logarithmic equation to exponential form:

$4={\log }_x\left(81\right)$.

Short answer

The exponential form is,

$81=x^4$.

Step-by-step solution

Step 1. Given the information.

The logarithmic equation is,

$4={\log }_x\left(81\right)$.

Step 2. Converting to exponential form.

$$\begin{gathered} 4={\log }_x\left(81\right) \\ x=a^y \\ 81=x^4. \end{gathered}$$

If $4={\log }_x\left(81\right)$,

then$81=x^4$.