UI Post-UTME Mathematics 2024 (Model questions) Question 23

Question 23

Indices

Find x from the equation 273x + 1/2 = 95x − 1/4

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

Answer: B (2)

Explanation

Write both as powers of 3: 3^(9x + 3/2) = 3^(10x − 1/2), so 9x + 3/2 = 10x − 1/2 and x = 2.