If log_a(3) = 1/3, find a.
Aptitude
Logarithm
Difficulty: Easy
Choose an option
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A27
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B81
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C72
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DNone of these
Answer
Correct Answer: 27
Explanation
Introduction / Context:Convert from logarithmic to exponential form to find the base a that makes the statement true.
Given Data / Assumptions:log_a(3) = 1/3.
Concept / Approach:By definition, a^{1/3} = 3 ⇒ a = 3^3.
Step-by-Step Solution:
a^{1/3} = 3 ⇒ a = 27Final Answer:27