# Product rule of logarithms

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##### Intros
###### Lessons
1. How and when to use the product rule:
Without using a calculator, evaluate: ${\log_2(16 \cdot 32)}$
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##### Examples
###### Lessons
1. ${\log_3 \sqrt{3} + \log_3 \sqrt{27}}$
1. Express as a single logarithm:
1. $\log_2 6 + \log_2 5$
2. $\log_3 100 + \log_6 5\$
###### Topic Notes
$\log_b(X \cdot Y) = \log_b X + \log_b Y$