WAEC Further Mathematics 2025 Objective — Question 2

Question 2 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

If [9^(2x-1) x 3^(2x)] / 27^(x-1) = 1, find the value of x.

A. -2/3
B. -1/3Correct
C. 2/9
D. 5/9

Explanation

Write all terms in base 3: 3^(4x-2+2x) = 3^(3x-3). Equate indices: 4x-2+2x = 3x-3, so 3x = -1, x = -1/3.

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