# Chapter 8 Exponential and Logarithmic Functions

## Chapter 8 Exponential and Logarithmic Functions

by Troy Cole
## 1. Chapter 8.1

## 2. Chapter 8.2

## 3. Chapter 8.3

## 4. Chapter 8.4

## 5. Chapter 8.5

## 6. Chapter 8.6

## 7. Exploring Exponential Models

## 8. Exponential function: is a funtion with the general form of y = ab^x

## 9. Growth factor: when b>1

## 10. Decay factor: when b <1

## 11. Asymtote: is a line that a graph approches as "x" or "y" increases in absolute value.

## 12. Properties of Exponential Functions

## 13. A = Pert A: amount in account P: Principle r: annual rate of intrest t: time in years

## 14. Logarithmis Functons as Inverses

## 15. Logarith: the base of a positive number.

## 16. Common logarith: is a logarithm that uses the base ten.

## 17. Logarithmis function: is a inverse of a exponential function.

## 18. Ex. log y = x b

## 19. Properties of Logarithms

## 20. Product Property: log(b) MN = log(b)M + log(b)N

## 21. Quotient Property: log(b) M/N = log(b)M - log(b)N

## 22. Power Property: log(b) M^x = x log(b)M

## 23. Exponential and Logarithmis Equations

## 24. Exponential equation: an equation in the form, b^cx = a.

## 25. Change of base formula: to evaluate a logarithm with any base.

## 26. Logarithmis equation: a equation that contains a logarithmic expression.

## 27. Ex. 7^3x = 20

## 28. 7^3x = 20 log7^3x = 20 3xlog7 = log20 x= log20/ 3log7 x=0.5132

## 29. Chapter 8.5

## 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

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