Product rule of logarithms

Product rule of logarithms

Lessons

$\log_b(X \cdot Y) = \log_b X + \log_b Y$
• 1.
How and when to use the product rule:
Without using a calculator, evaluate: ${\log_2(16 \cdot 32)}$

• 2.
${\log_3 \sqrt{3} + \log_3 \sqrt{27}}$

• 3.
Express as a single logarithm:
a)
$\log_2 6 + \log_2 5$

b)
$\log_3 100 + \log_6 5\$