Use logarithm properties to simplify numeric logarithmic expressions and estimate values.
Condense a sum, difference, and coefficient of logarithms into a single logarithm
Problem
How can you condense \(\log_2(8)+\log_2(4)-\log_2(2)\) into a \(\text{single}~\text{logarithm}\)?
Big Picture
What this problem is really about
Condensing several same-base logarithms is an operation map: added terms contribute factors to the numerator, while subtracted terms contribute factors to the denominator. Build that single argument before doing arithmetic, then simplify it. Evaluating the original terms separately should produce the same logarithm value.
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