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WAEC Further Mathematics 2025 Question 2

Question 2

Indices and Logarithms

If (92x−1 × 32x)/27(x−1) = 1, find the value of x.

  1. A.−2/3
  2. B.−1/3
  3. C.2/9
  4. D.5/9
Show the answer and explanation

Answer: B (−1/3)

Explanation

In powers of 3: 3^(4x − 2) × 3^(2x) ÷ 3^(3x − 3) = 3^(3x + 1) = 3⁰. So 3x + 1 = 0 and x = −1/3.