### Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem11-90

11-90.

1. $3^{x} = 17$

Take the log of both sides.

$\log (3^\textit{x})=\log (17)$

Apply the Power Property of Logarithms.

$x · \operatorname{log}\left(3\right) = \operatorname{log}\left(17\right)$

$\textit{x}= \frac{ \log(17) }{ \log(3)}$

1. $x^{3} = 17$

Find the cubic root of both sides of the equation.

$\textit{x}= \sqrt[3]{ 17 }$