Chapter 8 Exponential and Logarithmic Functions
by Troy Cole
1. Chapter 8.2
2. Chapter 8.3
3. Chapter 8.4
4. Chapter 8.5
5. Properties of Exponential Functions
6. A = Pert A: amount in account P: Principle r: annual rate of intrest t: time in years
7. Logarithmis Functons as Inverses
8. Logarith: the base of a positive number.
9. Common logarith: is a logarithm that uses the base ten.
10. Logarithmis function: is a inverse of a exponential function.
11. Ex. log y = x b
12. Properties of Logarithms
13. Product Property: log(b) MN = log(b)M + log(b)N
14. Quotient Property: log(b) M/N = log(b)M - log(b)N
15. Power Property: log(b) M^x = x log(b)M
16. Exponential and Logarithmis Equations
17. Exponential equation: an equation in the form, b^cx = a.
18. Change of base formula: to evaluate a logarithm with any base.
19. Logarithmis equation: a equation that contains a logarithmic expression.
20. Chapter 8.5
21. Chapter 8.1
22. Chapter 8.6
23. Exploring Exponential Models
24. Exponential function: is a funtion with the general form of y = ab^x
25. Growth factor: when b>1
26. Decay factor: when b <1
27. Asymtote: is a line that a graph approches as "x" or "y" increases in absolute value.
28. Ex. 7^3x = 20
29. 7^3x = 20 log7^3x = 20 3xlog7 = log20 x= log20/ 3log7 x=0.5132
30. Natural Logarithms
31. Natural logarithm function: the functions inverse.
32. Ex. Write 3 ln 6 - ln 8 as a single natural logarithm
33. 3 ln 6 - ln 8 = ln 6^3 - ln 8 Power Property = ln 6^3/8 Quotient Property = ln 27 Simplify
