WAEC Further Mathematics 2014 Question 1

Question 1

Indices and Logarithms

If 1/5−y = 25(54 − 2y), find the value of y.

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

Answer: B (2)

Explanation

5^y = 5² × 5^(4 − 2y) = 5^(6 − 2y), so y = 6 − 2y and y = 2.