Given:
The function is

To find:
The graph of the given function.
Solution:
We have,

At x=1,

At x=5,

![[\because \log_aa=1]](https://img.qammunity.org/2022/formulas/mathematics/high-school/rdi55arfjhwnzv5f81ix21xn87giv5lrtd.png)
So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.
Therefore, the correct option is A.