JAMB Mathematics 1991 Question 9

Question 9

Logarithms

Simplify 2log 2/5 − log 72/125 + log 9

  1. A.1 − 4 log 3
  2. B.−1 + 2 log 3
  3. C.−1 + 5 log 2
  4. D.1 − 2 log 2
Show the answer and explanation

Answer: D (1 − 2 log 2)

Explanation

Combine: log(4/25 × 125/72 × 9) = log(5/2) = log 10 − log 4 = 1 − 2 log 2.