Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.
The points for the given function are (1,0) (3,1) and (9,2)
Given that
Function; [tex]\rm f(x) = log3x[/tex]
We have to determine
The graph of the function f(x).
According to the question
The logarithmic function is the inverse of the exponential function.
Function; [tex]\rm f(x) = log_3x[/tex]
To plot the graph of the given function we have to find the asymptotes;
Vertical asymptote at x =0
The point at x= 1 is,
[tex]\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1[/tex]
The point at x= 3 is,
[tex]\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1[/tex]
The point at x= 9 is,
[tex]\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3[/tex]
Hence, the points for the given function are (1,0) (3,1) and (9,2).
To know more about the Exponential function given below.
https://brainly.com/question/3653847
