UI Post-UTME Mathematics 2016 Question 8

Question 8

Indices

25x − 5x − 20 = 0, find x

  1. A.1
  2. B.3
  3. C.5
  4. D.7
Show the answer and explanation

Answer: A (1)

Explanation

Let p = 5ˣ: p² − p − 20 = (p − 5)(p + 4) = 0. Since 5ˣ > 0, p = 5 and x = 1.