WAEC Mathematics 2017 Question 7

Question 7

Logarithms

Given that a = log 7 and b = log 2, express log 35 in terms of a and b.

  1. A.a + b + 1
  2. B.ab − 1
  3. C.a − b + 1
  4. D.b − a + 1
Show the answer and explanation

Answer: C (a − b + 1)

Explanation

log 35 = log(7 × 10/2) = log 7 + log 10 − log 2 = a + 1 − b.