Chapter 8.3, Problem 17PPS

To determine

To Find: The equation in exponential form.

Answer to Problem 17PPS

  $144={12}^2$

Explanation of Solution

Given: ${\log }_{12}144=2$

Formula used:

  $\begin{array}{l}{\log }_{b}x=yifandonlyif\\ b^y=x\end{array}$

Given: ${\log }_{12}144=2$

Then

Using the logarithm form

  ${\log }_{b}x=yif{b}^y=x$

  $\begin{array}{l}{\log }_{12}144=2\\ 144={12}^2\end{array}$

Hence, $144={12}^2$