1. Logarithmic Functions
Section 7.2
Logarithmic Functions

2. One-to-One Functions

3. One-to-One Functions

4. One-to-One Functions

6. All this means is a logarithmic function IS AN EXPONENT

7. Relationship Between Logarithms and Exponents

8. Evaluate Logarithmic Expressions

9. Evaluate Logarithmic Expressions

10. Evaluate Logarithmic Expression

14. Finding Domain

15. Finding Domain

17. Common Bases
Base 10

18. Common Bases

19. Common Bases

22. Solving Logarithmic Equations

23. Solving Logarithmic Equations

24. Use Logs to Solve Exponential Equations

25. Use Logs to Solve Exponential Equations

26. Application
Blood alcohol concentration (BAC) is a measure of the amount of alcohol in a person’s bloodstream.

27. Application
Blood alcohol concentration (BAC) is a measure of the amount of alcohol in a person’s bloodstream.
A BAC of 0.04% means that a person has 4 parts alcohol per 10,000 parts blood in the body
All 50 states have now set .08% blood alcohol concentration(BAC) as the legal limit for driving under the influence (DUI) or driving while impaired (DWI). For commercial drivers, a BAC of .04% can result in a DUI or DWI conviction nationwide.

29. Application
Relative risk is defined as the likelihood of one event occurring divided by the likelihood of a second event occurring
If an individual with a BAC of 0.02% is 1.4 times as likely to have a car accident as an individual that has not been drinking, the relative risk of an accident with a BAC of 0.02% is 1.4

30. Application

31. Research indicates that the relative risk of a person having an accident with a BAC of 0.02% is Find the constant.

32. Using this value of k, what is the relative risk if the concentration is 0.17%?

34. If the law asserts that anyone with a relative risk of 5 or more should not have driving privileges, at what concentration of alcohol in the bloodstream should a driver be arrested and charged with DUI?