Fill in reasons for each step in the following two solutions. Solve: log 3 (x 1) 2
Question:
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.
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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|
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