Logarithmic Functions
Success Criteria
Success Criteria
At the end of this chapter, students are able to:
At the end of this chapter, students are able to:
- Convert equations from indice form to logarithmic form and vice-versa.
- Apply the Product Law and Quotient Law.
- Apply the Power Law.
- Apply the Change-of-Base Law & Reciprocal Law.
- Solve logarithmic equations.
- Sketch logarithmic graphs.
- Apply logarithmic functions to model real-world problems (AO2).
Introduction
Introduction
In our study of functions, the previous chapter explored exponential functions. However, every function needs an inverse function (an undo button). The inverse function to exponential is the logarithmic function.
In our study of functions, the previous chapter explored exponential functions. However, every function needs an inverse function (an undo button). The inverse function to exponential is the logarithmic function.
Explore!
Explore!
Recalling the graphs of exponential functions, logarithms are the index (in red) that gives us a specific power (in blue). Move the Blue Dot to shift the power or the Blue Slider to change the base of the graph.
Recalling the graphs of exponential functions, logarithms are the index (in red) that gives us a specific power (in blue). Move the Blue Dot to shift the power or the Blue Slider to change the base of the graph.
Laws of Logarithm (Summary)
Laws of Logarithm (Summary)
Next: Let's begin by learning how to convert indice form to logarithmic form.
Next: Let's begin by learning how to convert indice form to logarithmic form.