CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
The value of (log₅ 9)(log₃ 125) is:
Write log₅ 9 as 2 log₅ 3 and log₃ 125 as 3 log₃ 5. Since log₅ 3 times log₃ 5 equals 1, the product is 2 × 3 × 1 = 6.
- A3
- B6Correct
- C9
- D2/3
Explanation
log₅9 = 2 log₅3 and log₃125 = 3 log₃5. Product = 6 × (log₅3 × log₃5) = 6 × 1 = 6. Option 3 arises from forgetting the factor 2 in log 9.
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