JAMB Mathematics 1997 Question 5

Question 5

Logarithms

Simplify log296 − 2log26

  1. A.2 − log23
  2. B.3 − log23
  3. C.log23 − 3
  4. D.log23 − 2
Show the answer and explanation

Answer: B (3 − log23)

Explanation

2log₂6 = log₂36, so the expression is log₂(96/36) = log₂(8/3) = log₂8 − log₂3 = 3 − log₂3.