Use the definition of logarithms to translate among logarithms in any base.
Rewrite a logarithmic equation in exponential form
Problem
What is the equivalent exponential form of \(\log_2(8)=3\)?
Big Picture
What this problem is really about
A logarithmic statement assigns three fixed roles. The subscript remains the exponential base, the value of the logarithm becomes the exponent, and the argument becomes the resulting power. Reading the statement as “this base raised to this exponent produces this argument” keeps those roles from being swapped.
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