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Home > A2C > Chapter 10 > Lesson 10.1.1 > Problem 10-22

10-22.
  1. Solve each equation. Homework Help ✎

    1. log2(x) + log2(x − 2) = 3

    2. log(2x) − log(x2) = −2

Remember the properties of logarithms.

log2(x(x − 2)) = 3
x 2 − 2x = 8
x 2 − 2x − 8 = 0
(x − 4)(x + 2) = 0

4, since logarithms of negative numbers are undefined.

See part (a).