Use the definition of logarithms to translate among logarithms in any base.
Compare logarithms in different bases using the definition of a logarithm
Problem
How do these logarithms compare: \(\log_2(16)\) and \(\log_4(16)\)?
Big Picture
What this problem is really about
A shared argument does not make logarithms equal when their bases differ. Translate each one into the exponent required for its own base to reach that argument, evaluate those powers independently, and compare the resulting exponent counts. The larger base may need fewer repeated factors to reach the same target.
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