Evaluate log(√8) in terms of log 8 (same base).
Aptitude
Logarithm
Difficulty: Easy
Choose an option
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A(1/2) log 8
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B(3/2) log 8
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C2 log 8
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D(1/4) log 8
Answer
Correct Answer: (1/2) log 8
Explanation
Concept / Approach
- Write the root as a fractional power and use the power rule: log(ak) = k · log a.
Step-by-step calculation√8 = 81/2log(√8) = log(81/2) = (1/2) · log 8
VerificationSince √8 < 8, its logarithm must be smaller than log 8; multiplying by 1/2 is consistent.
Final Answer(1/2) log 8