### Home > INT3 > Chapter 7 > Lesson 7.1.2 > Problem 7-25

7-25.

Solve each of the following equations to the nearest 0.001. Homework Help ✎

(5.825)

^{(}^{x}^{–3)}= 12018(1.2)

^{(2}^{x}^{–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):

Add 3 to both sides and use your calculator.

Remember to round to the nearest 0.001.

log(5.825)^{(}^{x}^{ − 3)} = log(120)

(*x* − 3)log(5.825) = log(120)

Divide both sides of the equation by 18.

Then follow the steps in part (a).