Answer
Refer to the blue graph beowl
Work Step by Step
RECALL:
The graph of $y=f(x)+k$ involves a vertical shift of $|k|$ units upward of the parent function $f(x)$ when $k\gt0$ or $|k|$ units downward when $k\lt0$.
The parent function of the given function is $f(x)=\log{x}$.
Thus, to graph the given function, perform the following steps:
(1) Graph the parent function $f(x)=\log{x}$.
(Refer to the red graph below.)
(2) With $k=2$, shift the graph of $f(x)=\log{x}$ $2$ units upward.
(Refer to blue graph above.)