### Home > INT3 > Chapter 8 > Lesson 8.1.3 > Problem 8-51

8-51.

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 of Logarithms.

*x* · log(2) = log(7)

*x* ≈ 2.81