JAMB Mathematics 1989 Question 11

Question 11

Logarithms

Find p in terms of q if log3p + 3log3q = 3.

  1. A.(3/q)3
  2. B.(q/3)1/3
  3. C.(q/3)3
  4. D.(3/q)1/3
Show the answer and explanation

Answer: A ((3/q)3)

Explanation

log3(pq³) = 3, so pq³ = 27. Then p = 27/q³ = (3/q)³.