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OAU Post-UTME Mathematics 2023 Question 16

Question 16

Logarithms

Given that log105 = 0.699, log103 = 0.477, find the value of x if x0.8265 = 45

  1. A.0.1
  2. B.10
  3. C.100
  4. D.1
Show the answer and explanation

Answer: C (100)

Explanation

Take logs: 0.8265 log x = log 45 = 2 log 3 + log 5 = 0.954 + 0.699 = 1.653. So log x = 2 and x = 100.