Exponentioal And Logarthmic Functions
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This document is a lecture on exponential and logarithmic functions that includes definitions and properties of exponential functions with various bases as well as examples and exercises. It introduces exponential functions where b>1 and 0<b<1 and their characteristics. It also covers the base-e exponential function, converting between bases, and applications of exponential functions through examples such as population growth, radioactive decay, and compound interest. The document concludes with a series of exercises related to exponential functions and their applications.
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Exponentioal And Logarthmic Functions
- 1. EXPONENTIAL AND LOGARTHMIC FUNCTIONS A Lecture By Abdul Ghaffar Khan
- 2. EXPONENTIAL FUNCTIONS g (x)= (0.5) x
- 3. Properties
- 4. Example 1
- 5. Example 1
- 6. Class of exp. function
- 7. Example 2
- 8. Example 3
- 9. CHARACTERSTICS OF f (x)=b x b > 1
- 10. Example 4
- 11. CHARACTERSTICS OF f (x)=b x , 0 < b < 1
- 13. Example 5
- 15. Exercise 7.1
- 16. Exercise 7.1
- 17. Exercise 7.1
- 18. Exercise 7.1
- 19. 7.2 Applications
- 20. Example 6
- 21. Example 6
- 22. Example 7
- 23. Example 7
- 24. Example 8
- 25. Example 8
- 26. Example 9
- 27. Example 9
- 28. Example 10
- 29. Example 10
- 30. Example 11
- 31. Example 11
- 32. Exercise 7.2
- 33. Exercise 7.2
- 34. Exercise 7.2
- 35. Exercise 7.2
- 36. Exercise 7.2