1. Deriving and Integrating Logarithms and Exponential Equations
AP Calculus AB

4. Logarithmic form: Exponential form:
Loga b = c can be written as: ac = b

5. What is a Logarithm?
Logarithmic Exponential Log3 81 = x 3x = 81 In calculator, we can do the change of base formula in logarithmic form: Log 81 3x = 81 Log 3 = 4 34 = 81 3x = 34 x = 4

7. Theorem 5.13 Derivatives for Bases Other Than e

8. Examples for Derivatives for Bases other than e

9. Examples for Derivatives for Bases other than e

10. Examples for Derivatives for Bases other than e

11. Examples for Derivatives for Bases other than e

12. Examples for Derivatives for Bases other than e

13. Examples for Derivatives for Bases other than e

14. Examples for Derivatives for Bases other than e

15. Examples for Derivatives for Bases other than e

16. Examples for Derivatives for Bases other than e

17. Examples for Derivatives for Bases other than e

18. Examples for Derivatives for Bases other than e

19. Examples for Derivatives for Bases other than e

20. Differentiate.
Hint: Take the ln of both sides.

21. Logarithmic form: Exponential form:
Loga b = c can be written as: ac = b