WAEC Further Mathematics 2021 Question 5

Question 5

Indices and Logarithms

Solve (1/9)x+2 = 243x−2.

  1. A.7/6
  2. B.6/7
  3. C.−7/6
  4. D.−6/7
Show the answer and explanation

Answer: B (6/7)

Explanation

3^(−2x − 4) = 3^(5x − 10), so −2x − 4 = 5x − 10, 7x = 6 and x = 6/7.