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JAMB Mathematics 2005 Question 8

Question 8

Logarithms

If log102 = 0.3010 and log103 = 0.4771, evaluate log104.5

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

Answer: B (0.6532)

Explanation

4.5 = 9/2, so log 4.5 = 2 log 3 − log 2 = 0.9542 − 0.3010 = 0.6532.