# How do you graph #f(X)=ln(2x-6)#?

##### 1 Answer

Mar 31, 2016

Find the key points of a logarithm function:

Keep in mind that:

#### Explanation:

- So you have one point
#(x,y)=(7/2,0)=(3.5,0)#

- So you have a second point
#(x,y)=(1,4.36)#

Now to find the vertical line that

- Vertical asymptote for
#x=3# - Finally, since the function is logarithmic, it will be
**increasing**and**concave**.

Therefore, the function will:

- Increase but curve downwards.
- Pass through
#(3.5,0)# and#(1,4.36)# - Tend to touch
#x=3#

Here is the graph:

graph{ln(2x-6) [0.989, 6.464, -1.215, 1.523]}