WAEC Further Mathematics 2011 Question 16

Question 16

Indices and Logarithms

Solve 92x+1 = 813x+2.

  1. A.−3/4
  2. B.−2/3
  3. C.¾
  4. D.3/2
Show the answer and explanation

Answer: A (−3/4)

Explanation

81 = 92, so 92x+1 = 96x+4. Then 2x + 1 = 6x + 4, −4x = 3 and x = −¾.