1 / 37

8.3-4 – Logarithmic Functions

8.3-4 – Logarithmic Functions. Logarithm Functions. Logarithm Functions If log b x = y ,. Logarithm Functions If log b x = y , then b y = x. Logarithm Functions If log b x = y , then b y = x . Ex. 1 Write the following in exponential form. a. log 8 1 = 0 .

kendra
Télécharger la présentation

8.3-4 – Logarithmic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 8.3-4 – Logarithmic Functions

  2. Logarithm Functions

  3. Logarithm Functions If logbx = y,

  4. Logarithm Functions If logbx = y, then by = x.

  5. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0

  6. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y

  7. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y

  8. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y

  9. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y

  10. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y by = x

  11. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y by = x 80 = 1

  12. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0 logbx = y by = x 80 = 1

  13. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y by = x 80 = 1

  14. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1

  15. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3

  16. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3 by = x

  17. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3 by = x

  18. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3 by = x logbx = y

  19. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3 by = x logbx = y log101000 = 3

  20. Logarithm Functions If logbx = y, then by = x. Ex. 1 Write the following in exponential form. a. log81 = 0b. log2(1/16) = -4 logbx = y 2-4 = 1/16 by = x 80 = 1 Ex. 2 Write the following in logarithmic form. a. 103 = 1000 b. 27⅓ = 3 by = xlog273 = ⅓ logbx = y log101000 = 3

  21. Ex. 3 Evaluate each expression. a. log264 b. log164

  22. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y

  23. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y

  24. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y by = x

  25. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y by = x 2y = 64

  26. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y by = x 2y = 64 2y = 26

  27. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y by = x 2y = 64 2y = 26 y = 6

  28. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y logbx = y by = x 2y = 64 2y = 26 y = 6

  29. Ex. 3 Evaluate each expression. a. log264 b. log164 log264 = y log164 = y logbx = y 16y = 4 by = x (42)y = 4 2y = 64 42y = 41 2y = 26 2y = 1 y = 6 y = ½

  30. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2

  31. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = y

  32. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = y by = x

  33. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = y by = x 92 = x

  34. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = y by = x 92 = x 81 = x

  35. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = y by = x 92 = x 81 = x

  36. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = yb2 = 121 by = xb = ±11 92 = x 81 = x

  37. Ex. 4 Solve each equation. a. log9x = 2 b. logb121 = 2 logbx = yb2 = 121 by = xb = ±11 92 = xb = +11 81 = x *b cannot be neg.!

More Related