Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The graph of $y=f(x+k)$ involves a horizontal shift of $|k|$ units to the left (when $k$ is positive) of the parent function $f(x)$.
The parent function of the given function is $f(x)=\log_5{x}$.
Thus, to graph the given function, perform the following steps:
(1) Graph the parent function $f(x)=\log_5{x}$.
(Refer to the red graph below.)
(2) With $k=1$, shift the graph of $f(x)=\log_5{x}$ $1$ unit to the left.
(Refer to blue graph above.)