Use the definition of logarithms to translate among logarithms in any base.
Interpret a logarithm as a closed multiplicative-interval model
Problem
A population doubles each equal interval. Interpret \(\log_{2}(64)~=~6\) by stating the multiplicative factor and percent growth, target multiple, interval count, and exponential check.
Big Picture
What this problem is really about
Translate the logarithm into a repeated-growth model by assigning each part a contextual role. The base is the multiplier per equal interval, the argument is the final-to-initial target ratio, and the logarithm's value counts the intervals. Convert the multiplier to percent change by subtracting one before expressing it as a percent.
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