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

10-22.

Solve each equation. Homework Help ✎

log

_{2}(*x*) + log_{2}(*x*− 2) = 3log(2

*x*) − log(*x*^{2}) = −2

Remember the properties of logarithms.

log_{2}(*x*(*x* − 2)) = 3

*x* ^{2} − 2*x* = 8

*x* ^{2} − 2*x* − 8 = 0

(*x* − 4)(*x* + 2) = 0

4, since logarithms of negative numbers are undefined.

See part (a).