Use the definition of logarithms to translate among logarithms in any base.
Evaluate a logarithm by rewriting it in exponential form
Problem
What is the value of \(\log_2(32)\)?
Big Picture
What this problem is really about
Treat the logarithm's value as an unknown exponent on its base. Rewrite the argument as an exact power of that same base, then use one-to-one behavior to match the exponents. This evaluates the logarithm by meaning, without confusing it with division or with the argument itself.
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