1 / 8

6.3A – Logarithms and Logarithmic Functions

6.3A – Logarithms and Logarithmic Functions. Objective: TSW evaluate logarithmic expressions. Definition of a Logarithmic Function. For x > 0 and b > 0, y = log b x is equivalent to b y = x .

kdurkee
Download Presentation

6.3A – Logarithms and 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. 6.3A – Logarithms and Logarithmic Functions Objective: TSW evaluate logarithmic expressions.

  2. Definition of a Logarithmic Function For x > 0 and b > 0, y = logbx is equivalent to by = x. So, a logarithm allows us to solve for unknown exponents since a logarithm is an exponential equation  Logarithmic form: y = logbx Exponential Form: by = x.

  3. Examples…. 1. Write each equation in its equivalent exponential form. a. 2 = log5x b. 3 = logb 64 c. log3 7 = y We will use the fact that: y = logbx means by = x,

  4. Examples… • Write each equation in it’s equivalent logarithmic form. a. 2r = 10 b. 17= b3.2 c. 122 = 144

  5. Now Let’s Apply the Definition to Solve. Here are the steps: • Set the logarithm equal to y • Rewrite the logarithm in exponential form • Break the bases down so they are the same!!! • REMEMBER, if the bases are equal, the exponents MUST BE equal! • Set the exponents equal and solve for y. • CHECK YOUR SOLUTION! Logarithmic form: y = logbx Exponential Form: by = x.

  6. Let’s Try a Few… 3. Evaluate a. log2 16 b. log3 9

  7. Evaluate a. log5(1/25) b. log25 5

  8. Homework! Pg. 496 #’s 1-7(all), 13-23(odds), 25-36(all).

More Related