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

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:

Final Answer:27