### Home > CCA2 > Chapter 8 > Lesson 8.2.2 > Problem8-93

8-93.

Show how to solve the equations below without using your calculator. You will have radicals or logarithms in your answers.

1. $3^x = 17$

Take the log of both sides.

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

Apply the Power Property of Logarithms.

$x · \log(3) = \log(17)$

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

1. $x^3 = 17$

Find the cubic root of both sides of the equation.

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