Properties of Logs
This lesson is based on observing counter-examples to logarithmic rules and involves comparing the values of several base 2 logarithmic expressions to discover which produce the same result. As a result, students will:
- Generalize these rules for base a, where a is a real number, a > 0 and a ≠ 1.
- Compare these logarithmic properties to their exponential counterparts.
Students will state and apply the properties of logarithms:
- loga(m*n) = loga(m) + loga(n)
- loga(m/n) = loga(m) - loga(n)
- loga(mn) = n*loga(m)
- Logarithmic expressions
- Equivalent expressions
- Exponential properties