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UI Post-UTME Mathematics 2017 (Model questions) Question 34

Question 34

Logarithms

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

  1. A.1 − 4log3
  2. B.−1 + 2log3
  3. C.−1 + 5log2
  4. D.1 − 2log2
Show the answer and explanation

Answer: D (1 − 2log2)

Explanation

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