Product rule of logarithms

Intros
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Lessons
  1. How and when to use the product rule:
    Without using a calculator, evaluate: log⁡2(16⋅32) {\log_2(16 \cdot 32)}
Examples
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Lessons
  1. log⁡33+log⁡327{\log_3 \sqrt{3} + \log_3 \sqrt{27}}
  2. Express as a single logarithm:
    1. log⁡26+log⁡25\log_2 6 + \log_2 5
    2. log⁡3100+log⁡65 \log_3 100 + \log_6 5\