Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The graph of $y=a\cdot f(x)$ involves a vertical stretch by a factor of $a$ of the parent function $f(x)$.
The parent function of the given function is $f(x)=\log_2{x}$.
Thus, to graph the given function, perform the following steps:
(1) Graph the parent function $f(x)=\log_2{x}$.
(Refer to the red graph below.)
(2) With $a=2$, vertically stretch the graph of $f(x)=\log_2{x}$ by a factor of $3$.
This can be done by multiplying by $3$ each $y$ value of $f(x)$
(Refer to blue graph above.)
