Starting with the graph of $y=\ln{x}$, find the equation of the graph that results from:

(a) shifting 3 units upward.
(b) shifting 3 units to the left.
(c) reflecting about the x-axis.
(d) reflecting about the y-axis.
(e) reflecting about the line $y=x$.
(f) reflecting about the x-axis and then the line $y=x$.
(g) reflecting about the y-axis and then the line $y=x$.
(h) shifting 3 units to the left and then reflecting about the line $y=x$.

(a) $y =$
(b) $y =$
(c) $y =$
(d) $y =$
(e) $y =$
(f) $y =$
(g) $y =$
(h) $y =$