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WAEC Further Mathematics 2026 Question 15

Question 15

Indices and Logarithms

If 5 + log2 y = 2log2 x, express y in terms of x.

  1. A.y = x2 + 32
  2. B.y = x2 − 32
  3. C.y = 32x2
  4. D.y = x2/32
Show the answer and explanation

Answer: D (y = x2/32)

Explanation

5 = log₂ 32, so log₂ y = log₂ x² − log₂ 32 = log₂ (x²/32). Hence y = x²/32.