\(\log_b(xy) = \log_b x + \log_b y\) | Product property |
\(\log_b\left(\dfrac{x}{y}\right) = \log_b x - \log_b y\) | Quotient property |
\(\log_b\left(x^k\right) = k \cdot \log_b x\) | Power property |
\(\log_a x = \dfrac{\log_b x}{\log_b a}\) | Change of base property |
Conclude by giving your students these challenges:
- Stone Age Counting by NRICH
- The Mathemagician's Seven Spells by NRICH
- 2014 AMC 8, Problem 14
- 2010 AMC 8, Problem 24
- Chickens and Rabbits by Pierce School: Problem / Solution