Answer
The graph of this function is:
Work Step by Step
$y=\log_{2}(x+2)$
The change of base formula is:
$\log_{b}M=\dfrac{\log_{a}M}{\log_{a}b}$
Express the logarithm given as a common logarithm by using the change of base formula shown to change the base of this logarithm to $10$:
$\log_{2}(x+2)=\dfrac{\log(x+2)}{\log2}$
The function now is:
$y=\dfrac{\log(x+2)}{\log2}$
The graph of this function is: