Find log_2(1/64).
Aptitude
Logarithm
Difficulty: Easy
Choose an option
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A6
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B-6
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C7
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DNone of these
Answer
Correct Answer: -6
Explanation
Introduction / Context:1/64 is a reciprocal power of 2. Logs with base 2 translate powers of 2 into their exponents directly.
Given Data / Assumptions:1/64 = 2^{−6}.
Concept / Approach:Use log_2(2^k) = k.
Step-by-Step Solution:
log_2(1/64) = log_2(2^{−6}) = −6Final Answer:−6