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Home > PC > Chapter 6 > Lesson 6.2.3 > Problem 6-103

6-103.
  1. Solve each of the following equations. Homework Help ✎

    1. log3(x + 9) − log3 x + log5 25 = 4

    2. 500(1.15)2x−1 + 1000 = 10000

log3(x + 9) − log3x + log552 = 4

log3(x + 9) − log3x + 2 = 4

log3(x + 9) − log3x = 2

x + 9 = 9x

9 = 8x

500(1.15)2x − 1 = 9000

(1.15)2x − 1 = 18

log(1.15)2x − 1 = log18

(2x − 1)log(1.15) = log18

x ≈ 10.82