UI Post-UTME Mathematics 2023 (Model questions) Question 19

Question 19

Logarithms

log2(x + 3) − log2 x = 2, solve for x

  1. A.9
  2. B.8
  3. C.2
  4. D.1
Show the answer and explanation

Answer: D (1)

Explanation

log₂((x + 3)/x) = 2, so (x + 3)/x = 4, x + 3 = 4x and x = 1.