Use logarithm properties to simplify numeric logarithmic expressions and estimate values.
Combine a sum of logarithms using the product law
Problem
What is a simplified form of \(\log_2(4)+\log_2(8)\) using the product law of logarithms?
Big Picture
What this problem is really about
When same-base logarithms are added, think multiplication inside a single logarithm rather than addition of the arguments. After combining, look for an exact power of the shared base; that turns the remaining logarithm into an exponent question and gives a clean independent check.
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