Logarithmic Functions<br />Algebra 2<br />8.4<br />
Logarithmic Functions<br />2x = 6<br />You know that 22< 6 < 23, so that means <br />2 < x < 3.<br />
Mathematicians use logarithms to find the exact value of exponents like this example.<br />
2x = 6 can also be written in log form:<br />log2 6 = x<br />
2x = 6 can also be written in log form:<br />log2 6 = x<br />Exponential form<br />Logarithmic form<br />
Log Functions<br />Log functions are inverses of exponential functions.<br />
The graphs of inverse functions are symmetric across the line <br />y = x.<br />
The Domain and Range for exponential functions are opposite for log functions.<br />
Graphing Log Functions<br />The line x = h  is a vertical asymptote.<br />
Graphing Log Functions<br />The line x = h  is a vertical asymptote.<br />If b > 1, the graph is increasing.<br />
y = logb (x – h) + k<br />Graphing Log Functions<br />The line x = h  is a vertical asymptote.<br />If b > 1, the graph is...
Upcoming SlideShare
Loading in...5
×

A28-4 log fxns

186

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
186
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
3
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Transcript of "A28-4 log fxns"

  1. 1. Logarithmic Functions<br />Algebra 2<br />8.4<br />
  2. 2. Logarithmic Functions<br />2x = 6<br />You know that 22< 6 < 23, so that means <br />2 < x < 3.<br />
  3. 3. Mathematicians use logarithms to find the exact value of exponents like this example.<br />
  4. 4. 2x = 6 can also be written in log form:<br />log2 6 = x<br />
  5. 5. 2x = 6 can also be written in log form:<br />log2 6 = x<br />Exponential form<br />Logarithmic form<br />
  6. 6. Log Functions<br />Log functions are inverses of exponential functions.<br />
  7. 7. The graphs of inverse functions are symmetric across the line <br />y = x.<br />
  8. 8. The Domain and Range for exponential functions are opposite for log functions.<br />
  9. 9. Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />
  10. 10. Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />If b > 1, the graph is increasing.<br />
  11. 11. y = logb (x – h) + k<br />Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />If b > 1, the graph is increasing.<br />If 0 > b > 1, the graph is decreasing.<br />
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×