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J. Exponential and Logarithmic Functions

J. Exponential and Logarithmic Functions. Pre-Calculus 30 PC30.9 Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing. Key Terms :. 1. Exponential Functions. PC30.9

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J. Exponential and Logarithmic Functions

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  1. J. Exponential and Logarithmic Functions Pre-Calculus 30 PC30.9 Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  2. Key Terms:

  3. 1. Exponential Functions • PC30.9 • Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  4. 1. Exponential Functions

  5. Example 1

  6. Example 2

  7. Example 3

  8. Key Ideas p.342

  9. Practice • Ex. 7.1 (p.342) #1-5 odds in each,6-12 #1-5 odds in each, 6-13, 15

  10. 2. Exponential Transformations • PC30.9 • Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  11. 2. Exponential Transformations

  12. Example 1

  13. Example 2

  14. Key Ideas p.354

  15. Practice • Ex. 7.2 (p.354) #1-11 #3-14

  16. 3. Solving Exponential Equations • PC30.9 • Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  17. 3. Solving Exponential Equations

  18. Example 1

  19. Example 2

  20. Example 3

  21. Key Ideas p.363

  22. Practice • Ex. 7.3 (p.364) #1-7 odds in each, 8-14 #4-7 odds in each, 8-18 evens

  23. 4. What are Logarithms? • PC30.9 • Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  24. 4. What are Logarithms? • Break and Enter

  25. Example 1

  26. Example 2

  27. Example 3

  28. Example 4

  29. Example 5

  30. Key Ideas p.379

  31. Practice • Ex. 8.1 (p.380) #1-9, 11-19 odds #2,3,4,8,10,13,15,16,19,20, 21-24

  32. 5. Transformations of Log Functions • PC30.9 • Demonstrate an understanding of logarithms including: evaluating logarithms relating logarithms to exponents deriving laws of logarithms solving equations graphing.

  33. 5. Transformations of Log Functions

  34. Recall mapping notation to help find your points to graph:

  35. Example 1

  36. Example 2

  37. Example 3

  38. Example 4

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