Product rule of logarithms

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  1. How and when to use the product rule:
    Without using a calculator, evaluate: log2(1632) {\log_2(16 \cdot 32)}
  1. log33+log327{\log_3 \sqrt{3} + \log_3 \sqrt{27}}
    1. Express as a single logarithm:
      1. log26+log25\log_2 6 + \log_2 5
      2. log3100+log65 \log_3 100 + \log_6 5\
    Topic Notes
    logb(XY)=logbX+logbY \log_b(X \cdot Y) = \log_b X + \log_b Y