WAEC Mathematics 2023 Question 45

Question 45

Logarithms

If loga3 = m and loga5 = p, find loga 75.

  1. A.m + p2
  2. B.2m + p
  3. C.m + 2p
  4. D.m2 + p
Show the answer and explanation

Answer: C (m + 2p)

Explanation

75 = 3 × 5², so loga75 = loga3 + 2 loga5 = m + 2p.