1 / 14

6.3 Logarithmic Functions

6.3 Logarithmic Functions. Change exponential expression into an equivalent logarithmic expression. Change logarithmic expression into an equivalent exponential expression. Domain of logarithmic function = Range of exponential function =.

Download Presentation

6.3 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. 6.3Logarithmic Functions

  2. Change exponential expression into an equivalent logarithmic expression. Change logarithmic expression into an equivalent exponential expression.

  3. Domain of logarithmic function = Range of exponential function = Range of logarithmic function = Domain of exponential function =

  4. y = x (0, 1) (1, 0)

  5. y = x (0, 1) (1, 0) a > 1

  6. Properties of the Graph of a Logarithmic Function 1. The x-intercept of the graph is 1. There is no y-intercept. 2. The y-axis is a vertical asymptote of the graph. 3. A logarithmic function is decreasing if 0 < a < 1 and increasing if a > 1. 4. The graph is smooth and continuous, with no corners or gaps.

  7. The Natural Logarithm

  8. (e, 1) (1, 0)

  9. x = 3 (e + 3, 1) (4, 0)

  10. The Common Logarithmic Function (base=10)

  11. Logarithmic Equations

More Related