Question 10
LogarithmsFind, without using logarithm tables, the value of (log327 − log¼64)/log3(1/81)
- A.7/4
- B.−7/4
- C.−3/2
- D.7/3
- 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.