Question

The graph of a logarithmic function is given. Select the function for the graph from the options.

Answer 1

From the graph given, you can see that the curve cuts the x axis at x = 1. This means that the function of the log to base 5 will be x-1. Hence the fucntion for the graph is expressed as:

$f(x)=\log _5(x-1)$

Hence option C is correct

Note that all you need to do is take the log of the function (x-1) to the base of 5