Use logarithm properties to simplify numeric logarithmic expressions and estimate values.
Compare or estimate simple logarithmic values using powers and benchmark numbers
Problem
Compare \(\log_{2}(20)\) and \(\log_{2}(16)\), and state the correct inequality.
Big Picture
What this problem is really about
When logarithms share a base greater than one, their order follows the order of their positive arguments because the logarithm is increasing. An argument being an exact power makes its logarithm easy to evaluate, but it does not outweigh a larger input. Benchmark powers provide a useful numerical confirmation of the comparison.
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