This document discusses logarithmic functions including their definition, basic properties, graphs, domains, common logarithms, natural logarithms, and examples. It covers logarithmic functions, their graphs, properties such as domain, and applications of common and natural logarithms with examples throughout.

1. Section 4.2 Logarithmic Functions

2. The Definition of Logarithmic Functions

5. Example

6. Example

7. Example

8. Basic Logarithmic Properties

11. Example

12. Graphs of logarithmic Functions

16. Example

17. Example

18. Example

19. The Domain of a Logarithmic Function

21. Example

22. Common Logarithms

24. Graphing Calculator

25. Example

26. Natural Logarithms

29. Example

30. Example

31. (a) (b) (c) (d)

32. (a) (b) (c) (d)