Answer: [tex]y= log_6x[/tex] will be the function which is shown in the graph.
Explanation: let the function [tex]y= log_px[/tex] which is shown in the graph, where p is any number.
according to the graph the function has the point (6,1) so point must satisfy the equation of the function.
if x=6 then [tex]y= log_p6 =1[/tex] ( it is only possible if p=6)
Thus, the required function will [tex]y=log_6x.[/tex]
Hence, fourth option is correct.
