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Understanding Logarithmic Functions: Inverse and Properties

Learn about inverse operations in mathematics with logarithmic functions. Explore the definition, graphs, and transformations of logarithmic functions. Practice inverse and properties with Dr. Johnny Duke.

sebastian-castillo
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Understanding Logarithmic Functions: Inverse and Properties

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  1. Logarithmic Functions Dr. Johnny Duke Georgia Highlands College

  2. Inverse In mathematics we like to be able to “undo” whatever has been done. For instance, a child learns to add, then learns to subtract which “undoes” addition. Once one learns to multiply, then division is learned to “undo” multiplication. These are inverse operations.

  3. Inverse Functions

  4. The Inverse of Exponential Functions

  5. Practice

  6. Definition Applied

  7. Practice

  8. stop

  9. Graphs of Logarithmic Functions Dr. Johnny Duke

  10. ..\gsp\log base 2.gsp

  11. Transformations and Logarithmic Function Horizontal Shift, left one unit.

  12. Transformations and Logarithmic Function Vertical Shift, up two units.

  13. Transformations and Logarithmic Function Reflection through x-axis

  14. Transformations and Logarithmic Function Reflection through y-axis

  15. Transformations and Logarithmic Function Reflection through x-axis; vertical shift down 4 units; horizontal shift right 2 units.

  16. Stop

  17. Two Special Logarithmic Functions

  18. Two Special Logarithmic Functions

  19. Practice 1 -2 1.398 e 1.792 - .981

  20. Change of Base Formula

  21. Practice

  22. stop

  23. Properties of Logarithmic Functions Dr. Johnny Duke

  24. Properties of logarithmic functions

  25. Properties of logarithmic functions

  26. More Properties of Logs

  27. Expanding logarithmic expressions Property 1 Property 3 Property 2 Properties 1 and 3

  28. Contracting logarithmic expressions Property 3 Property 1 Properties 3 and 2 Property 1

  29. stop

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