1. Logarithmic Functions PRE-CALCULUS UNIT 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

2. Overview of Logarithmic Functions

3. What is a logarithmic function?

4. Where do you see logarithmic functions?  Intensity of sound  Intensity of light  Richter Scale  Growth functions  pH levels  Radioactive Decay  Carbon Dating

5. Relating Logarithmic and Exponential Forms

6.  Evaluate:  Log 3 81  Log 5 √5

7. Basic Properties of Logarithms

8. Apply Properties of Logarithms

9. Common Logarithm

10. Graphs of Logarithms

11. Graphs of Logarithmic Functions  Given the parent logarithmic function y = log x, find:  Domain and Range  X and Y intercepts  Asymptotes  End Behavior  Increasing and Decreasing  Maximums and Minimums

12. Logarithmic Growth Graph  Where y = log b x and b > 1  Domain and Range  X and Y intercepts  Asymptotes  End Behavior  Increasing and Decreasing  Maximums and Minimums

13. Logarithmic Decay Graph  Where y = log b x and 0 < b < 1  Domain and Range  X and Y intercepts  Asymptotes  End Behavior  Increasing and Decreasing  Maximums and Minimums

14. Using Logarithmic Functions

15. Solve

16.  The amount of light A absorbed by a sample solution is given by A = 2 – log 100T, where T is the fraction of the light transmitted through the solution.  If the percent of light transmitted through the first sample is 72%, how much light does the sample solution absorb to the nearest hundredth?  If the absorption of the second sample solution is.174, what percent of the light entering the solution is transmitted?