Lesson 3: 3.3 Properties of Logarithms
Duration of Days: 3
Lesson Objective
1. Rewrite logarithms with different bases.
2. Use properties of logarithms to evaluate or rewrite logarithmic expressions.
3. Use properties of logarithms to expand or condense logarithmic expressions.
4. Use logarithmic functions to model and solve real-life problems.
How do you rewrite logarithmic expressions to simplify or evaluate them?
change-of-base formula
inverse function
Product property
Quotient property
Power property
HSA-BF.B.5: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
Use Khan Academy Resources
Students will learn more properties of logarithms, which can be used to condense and expand logarithmic expressions and evaluate logarithmic functions using a calculator.
Logarithmic functions can be used to model and solve real-life problems, such as the model for the number of decibels of a sound.
Students may write logax^n as nloga+nlogx, when it is loga+nlogx.
Remind students that the domain of a logarithmic function is x>0. Have struggling learners us a calculator to see first hand how there is no solution when x<=0
Common Assessment
Pre-Calculus with Limits Resources