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Home > A2C > Chapter 7 > Lesson 7.2.2 > Problem 7-111

7-111.
  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:

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.
See part (a).