OAU Post-UTME Mathematics 2014 Question 3

Question 3

Logarithms

Simplify log100√(10−1).

  1. A.−1/8
  2. B.−1/4
  3. C.¼
  4. D.1/8
Show the answer and explanation

Answer: B (−1/4)

Explanation

√(10−1) = 10−1/2 and 100 = 10². log10010−1/2 = (−½)/2 = −¼.