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 thatFunction; [tex]\rm f(x) = log3x[/tex]We have to determineThe graph of the function f(x).According to the questionThe 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 =0The 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.