Use the definition of logarithms to translate among logarithms in any base.
Translate between logarithmic form and exponential form
Problem
What is the equivalent exponential or logarithmic statement for \(\log_3(81)=4\)?
Big Picture
What this problem is really about
Translation changes the notation, not the roles: the subscript remains the power base, the logarithm value becomes the exponent, and the argument is the result. Reading the statement aloud as an exponent question provides a quick check that every quantity stayed in its proper role.
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