CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
The value of log to the base 4 of 32 is:
The logarithm of 32 to the base 4 equals 5/2. Write 32 as 2^5 and 4 as 2^2, then change to base 2, giving 5 divided by 2. Equivalently, 4 raised to the power 2.5 equals 2^5, which is 32.
- A8
- B2/5
- C5/2Correct
- D3
Explanation
Change to base 2: log₄32 = log₂32 / log₂4 = 5/2. Option 2/5 inverts the fraction. Option 8 is the mistake of dividing 32 by 4.
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