UI Post-UTME Mathematics 2021 (Model questions) Question 23

Question 23

Indices

If (27x × 31−x)/92x = 1, what is the value of x?

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

Answer: C (1/2)

Explanation

3^(3x + 1 − x − 4x) = 3⁰, so 1 − 2x = 0 and x = 1/2.