CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
Using the change of base rule, log₈ 16 equals:
Changing to base 2, log₈ 16 equals log₂ 16 divided by log₂ 8. Since 16 is 2 to the power 4 and 8 is 2 cubed, the ratio is 4/3. The inverted value 3/4 is a common error.
- A2
- B3/4
- C4/3Correct
- D1/2
Explanation
Write both in base 2: log₈ 16 = log₂16 / log₂8 = 4/3. The option 3/4 results from inverting the ratio (log₂8 / log₂16).
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