Answer:
first of all, the graphs are so poorly plotted,even kn computer...
anyways,
since the blue one ending at x=5 on the x axis,
while actual log ends at x=0 this means
X=x-5
and since, log1=0 but it's 5 in blue graph,
the graph is moved up by 5
hence,
y=5+log(x-5)