Answer and explanation

Correct answer: A.

  1. Step 1: Combine: , so .
  2. Step 2: , so .
  3. Step 3: is rejected because does not exist, so .
Answer
.
Why not the others: : is a root of the quadratic but makes undefined. : adds the arguments instead of multiplying them. : writes and ignores the second logarithm.

Practise more Exponentials and logarithms.

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