1 / 8

5.3.1 – Logarithmic Functions

5.3.1 – Logarithmic Functions. When given exponential functions, such as f(x) = a x , sometimes we needed to solve for x Doubling time Years to reach a particular amount Trouble is, we don’t have an exact way to solve for x. Log Function.

garren
Download Presentation

5.3.1 – 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. 5.3.1 – Logarithmic Functions

  2. When given exponential functions, such as f(x) = ax, sometimes we needed to solve for x • Doubling time • Years to reach a particular amount • Trouble is, we don’t have an exact way to solve for x

  3. Log Function • Luckily, we can use a logarithmic function to help us solve such problems • If a is a fixed positive number, and if x = ay, then; • y = logzx • a is the bsae of both functions/equations • OR, a to what power gives you x

  4. Properties • There are some simple properties we can use to help us better understand logs • Loga1 = 0 • Why? • Logaa = 1 • Why?

  5. Properties Cont’d • Loga(ax) = x (Knockdown Property) • aloga(x) = x • If no base is listed, we assume base 10

  6. Example. Evaluate the following logarithmic expressions: • a) log525 • b) log1/22 • c) log171

  7. Try these • D) log164 • E) log31 • F) log5(1/25) • G) 2log981

  8. Assignment • Pg. 411 • 13-23 odd

More Related