UI Post-UTME Mathematics 2018 (Model questions) Question 19

Question 19

Logarithms

log10(3x + 1) + log10(½) − log10(2x − 5) = 0

  1. A.11
  2. B.13
  3. C.12
  4. D.10
Show the answer and explanation

Answer: A (11)

Explanation

(3x + 1)/(2(2x − 5)) = 1, so 3x + 1 = 4x − 10 and x = 11.