Graph shows the vertical asymptote at x nearing 4.
Explanation:X must be more than 4 otherwise log(x-4) will be invalid;
Let us make a table of x & y
x→→log(x−4)
------- ----------------
5→→0
9→→.7
14→→1
19→→1.18
24→→1.30
Now we can plot the Graph with the value of x and y. On this Graph Vertical asymptote is at x nearing the value 4. (Graph Below)
Hope this helped :)