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JAMB Mathematics 1997 Question 4

Question 4

Logarithms

Given that loga2 = 0.693 and loga3 = 1.097, find loga13.5.

  1. A.1.404
  2. B.1.790
  3. C.2.598
  4. D.2.790
Show the answer and explanation

Answer: C (2.598)

Explanation

13.5 = 27/2 = 3³/2, so log 13.5 = 3 log 3 − log 2 = 3(1.097) − 0.693 = 2.598.