### Home > PC > Chapter 3 > Lesson 3.3.2 > Problem3-126

3-126.

In Algebra 2 you learned a fast way to solve equations of the form $x^{1.05} = 2$ by raising each side to a well-chosen power. We’ll review that method now. Copy and complete the steps below.

 Given equation $x^{1.05} = 2$ (Raise both sides to the reciprocal of the exponent of the variable) $(x^{1.05})^{\frac{1}{1.05}}=$ ____ (Power Law for exponents) $x^{1} =$ ____ Use a calculator to evaluate (rounded to nearest $0.001$) $x = 1.935$

The key steps to remember are in bold. Copy this solution into your Tool Kit.

Refer to the Solving Power Equations Math Notes in this lesson.