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JAMB Mathematics 1997 Question 6

Question 6

Indices

If 8x/2 = (23/8)(43/4), find x.

  1. A.3/8
  2. B.3/4
  3. C.4/5
  4. D.5/4
Show the answer and explanation

Answer: D (5/4)

Explanation

Write everything as powers of 2: 8^(x/2) = 2^(3x/2) and 2^(3/8) × 2^(3/2) = 2^(15/8). So 3x/2 = 15/8, giving x = 5/4.