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WAEC Further Mathematics 2023 Question 18

Question 18

Indices and Logarithms

Simplify: (log √27 − log √8)/(log 3 − log 2).

  1. A.−1/4
  2. B.−3/2
  3. C.1/4
  4. D.3/2
Show the answer and explanation

Answer: D (3/2)

Explanation

log √27 = (3/2) log 3 and log √8 = (3/2) log 2, so the top is (3/2)(log 3 − log 2) and the fraction is 3/2.