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OAU Post-UTME Mathematics 2023 Question 15

Question 15

Logarithms

Given that log 2 = 0.3010, log 3 = 0.4771, find the value of log100.24.

  1. A.0.6199
  2. B.1̄.3801
  3. C.1.3801
  4. D.2̄.3801
Show the answer and explanation

Answer: B (1̄.3801)

Explanation

0.24 = (23 × 3)/100, so log 0.24 = 3(0.3010) + 0.4771 − 2 = 1.3801 − 2 = 1̄.3801 (which is −0.6199).