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WAEC Further Mathematics 2020 Question 39

Question 39

Indices and Logarithms

If log5(125x3/∛y) is expressed in the form p log5 x + q log5 y + k, find the values of p, q and k respectively.

  1. A.3, −⅓, 5
  2. B.−⅓, 3, 5
  3. C.3, ⅓, 3
  4. D.3, −⅓, 3
Show the answer and explanation

Answer: D (3, −⅓, 3)

Explanation

log₅ 125 + 3log₅ x − ⅓log₅ y = 3 + 3log₅ x − ⅓log₅ y. So p = 3, q = −⅓, k = 3.