WAEC Further Mathematics 2006 Question 7

Question 7

Indices and Logarithms

Given that 1/82−3y = 2y+2, find y.

  1. A.⅕
  2. B.⅞
  3. C.1
  4. D.1⅕
Show the answer and explanation

Answer: C (1)

Explanation

1/82−3y = 2−3(2−3y) = 29y−6. Equate powers: 9y − 6 = y + 2, so 8y = 8 and y = 1.