### Home > PC3 > Chapter 5 > Lesson 5.2.4 > Problem5-99

5-99.

In a previous course you learned how to solve “power equations” of the form $x^a=b$, where $a$ and $b$ are real numbers, by raising each side to a well-chosen power. Review this method by completing the parts below.  Homework Help ✎

1. Equation: $x^{1.05}=2$
Start by estimating the solution so that you know what to expect when you use a calculator.

$\left(x^{1.05}\right)^{1\1.05}=2^{1\1.05}$
3. Use a calculator to obtain a value for $x$ accurate to three decimal places.