Graphing Logarithmic Functions
Example
Graph y = log1/2x.
Solution
Step 1 Rewrite y = log1/2x in exponential form.
Step 2 Switch x and y.
Step 3 Calculate ordered pairs. |
![](./articles_imgs/159/algebr27.gif)
![](./articles_imgs/159/algebr28.gif) |
x |
![](./articles_imgs/159/algebr29.gif) |
(x, y) |
-4 |
![](./articles_imgs/159/algebr30.gif) |
(-4, 16) |
-1 |
![](./articles_imgs/159/algebr31.gif) |
(-1, 2) |
0 |
![](./articles_imgs/159/algebr32.gif) |
(0, 1) |
1 |
![](./articles_imgs/159/algebr33.gif) |
![](./articles_imgs/159/algebr34.gif) |
2 |
![](./articles_imgs/159/algebr35.gif) |
![](./articles_imgs/159/algebr36.gif) |
4 |
![](./articles_imgs/159/algebr37.gif) |
![](./articles_imgs/159/algebr38.gif) |
Step 4 Exchange the x- and y-coordinates.
The new coordinates are (16, -4), (2, -1), (1, 0),
,
, and
.
Step 5 Graph the new ordered pairs.
![](./articles_imgs/159/algebr42.gif)
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