### Home > INT3 > Chapter Ch7 > Lesson 7.1.2 > Problem7-25

7-25.
1. Solve each of the following equations to the nearest 0.001. Homework Help ✎

1. (5.825)(x–3) = 120

2. 18(1.2)(2x–1) = 900

Since you are solving for an exponent, take the log of each side:

Apply the Power Property of Logarithms:

Divide both sides of the equation by log(5.825):

$\frac{(x-3) \text{log}(5.825)}{ \text{log}(5.825)} = \frac{ \log (120)}{ \log (5.825)}$