Solve log₃ x + log₃ (x − 2) = 1.
Answer and explanation
Correct answer: C. x = 3
- Step 1: Combine logs: log₃[x(x − 2)] = 1, so x² − 2x = 3. Step 2. The roots are 3 and −1, but logs need x > 2, so reject −1. Answer: x = 3. Why not the others: A root outside the domain must be rejected, and x = 1 makes x − 2 negative.
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