If log_a(3) = 1/3, find a.

Aptitude Logarithm Difficulty: Easy
Choose an option
  • A
    27
  • B
    81
  • C
    72
  • D
    None 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 = 27

Final Answer:27

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