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Exploring Exponential Functions: The Base Change Theorem

Delve into Exponential functions using the Change of Base Theorem with methods explained. Solve related problems and grasp essential concepts.

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Exploring Exponential Functions: The Base Change Theorem

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  1. AP Calculus AB Day 8 Section 5.4 & 5.5 Perkins

  2. Exponential Function a is a positive number Passes through (0,1) and (1,a).

  3. Recall: This means… and… Exponential and log functions are interchangeable. Start with the base. Change of Base Theorem

  4. (2 methods) (2 methods) (2 methods)

  5. Solve. We can’t take a log of -1.

  6. AP Calculus AB Day 8 Section 5.4 & 5.5 Perkins

  7. Exponential Function a is a positive number

  8. Recall:

  9. (2 methods) (2 methods) (2 methods)

  10. Solve.

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