Fill in reasons for each step in the following two solutions.

Solve: log₃(x €“ 1)² = 2

Both solutions given in Solution A check. Explain what caused the solution x = -2 to be lost in Solution B.

Solution A log3(x 1)2 = 2 (x 1)2 = 32 = 9 (x 1) = 3 x 1 = -3 or x 1 = 3 -2 or x = 4 Solution B log:(x 1)2 = 2 2 log; (x 1) = 2, log;(x 1) = 1. x 1 = 3' = 3 x = 4 %3D %3|