WAEC Mathematics 2006 Question 31

Question 31

Logarithms

If loga270 − loga10 + loga(1/3) = 2, what is the value of a?

  1. A.3
  2. B.4
  3. C.5
  4. D.6
Show the answer and explanation

Answer: A (3)

Explanation

Combine the logs: loga(270 ÷ 10 × 1/3) = loga9 = 2, so a2 = 9 and a = 3.