Chapter 8 Exponential and Logarithmic Functions

Chapter 8 Exponential and Logarithmic Functions af 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