OAU Post-UTME Mathematics 2013 Question 8

Question 8

Logarithms

Evaluate (log√27 − log√8)/(log3 − log 2)

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

Answer: C (3/2)

Explanation

log√27 = (3/2)log 3 and log√8 = (3/2)log 2, so the top is (3/2)(log 3 − log 2). Dividing gives 3/2.