From the given points on the graph we can find which function represents this graph.
A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.
The property of log is that [tex] log_{a}(a)=1[/tex]
This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.
So, in this case we have:
[tex]log_{a}(3)=1 [/tex]
Since the answer is 1, the base of log must be 3.
In the given options, only option 3rd is with base 3.
So, the correct answer is option 3.