# 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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