Graphing Logarithmic Functions
Example
Graph y = log_{1/2}x.
Solution
Step 1 Rewrite y = log_{1/2}x in exponential form.
Step 2 Switch x and y.
Step 3 Calculate ordered pairs. 

x 

(x, y) 
4 

(4, 16) 
1 

(1, 2) 
0 

(0, 1) 
1 


2 


4 


Step 4 Exchange the x and ycoordinates.
The new coordinates are (16, 4), (2, 1), (1, 0),
,
, and
.
Step 5 Graph the new ordered pairs.
