What is the equation of the vertical asymptote of g(x)=4 log 3 (x−2)+5 ?

x = 2

Step-by-step explanation:

Assuming the function is

All logarithmic functions, despite their base, has a vertical asymptote at argument = 0.

That is not changed by the vertical stretching made by the 4 which multiplies the logarithm nor  the vertical shift made by the +5.

In this case the argument is x - 2, then the vertical asymptote is:

x - 2 = 0

x = 2

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.