JAMB Mathematics 1984 Question 10

Question 10

Logarithms

Find, without using logarithm tables, the value of (log327 − log¼64)/log3(1/81)

  1. A.7/4
  2. B.−7/4
  3. C.−3/2
  4. D.7/3
  5. E.−1/4
Show the answer and explanation

Answer: C (−3/2)

Explanation

log₃27 = 3, log_¼ 64 = −3 (since (¼)⁻³ = 64) and log₃(1/81) = −4. So (3 + 3)/(−4) = −3/2.