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JAMB Mathematics 1988 Question 9

Question 9

Logarithms

If log102 = 0.3010 and log103 = 0.4771, evaluate without using logarithm tables, log104.5.

  1. A.0.3010
  2. B.0.4771
  3. C.0.6532
  4. D.0.9542
Show the answer and explanation

Answer: C (0.6532)

Explanation

4.5 = 9/2 = 3 × 3 ÷ 2. So log 4.5 = 2 × 0.4771 − 0.3010 = 0.6532.