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WAEC Further Mathematics 2010 Question 4

Question 4

Indices and Logarithms

If 163x = ¼(32x−1), find the value of x.

  1. A.−1
  2. B.−⅓
  3. C.−3/7
  4. D.−5/19
Show the answer and explanation

Answer: A (−1)

Explanation

Write everything as powers of 2: 212x = 2−2 × 25x−5 = 25x−7. So 12x = 5x − 7, giving x = −1.