### Home > A2C > Chapter 8 > Lesson 8.1.6 > Problem 8-98

8-98.

Solve each of the following equations. Homework Help ✎

2(

*x*− 1)^{2}= 182

+ 3 = 10^{x}

Divide both sides by 2.

How many solutions are you expecting?

Subtract 3 from both sides.

2* ^{x}* = 7

Take the log of both sides.

log (2)* ^{x}* = log(7)

Apply the Power Property.

*x* · log(2) = log(7)