Answer and explanation

Correct answer: D.

  1. Step 1: Combine the logarithms (valid for ): , so . Step 2. This gives , i.e. . Step 3. The logarithms need , so is rejected and only remains. **Answer: . Why not the others:** : makes negative, so it is outside the domain. and : must be rejected. : gives .

Practise more Algebra, logarithms and inequalities.

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