### Home > PC3 > Chapter 5 > Lesson 5.2.4 > Problem 5-99

5-99.

In a previous course you learned how to solve “power equations” of the form , where

*and*

*are real numbers, by raising each side to a well-chosen power. Review this method by completing the parts below.*

Equation:

Start by estimating the solution so that you know what to expect when you use a calculator.Algebraically solve the equation. Write your answer in exact form.

Use a calculator to obtain a value for

accurate to three decimal places.Explain why logarithms are not needed to solve the equation.