Transformations of e^x and lnx

Hi

I am getting conflicting suggestions in class about the transformations of graphs and (i) the order to carry out transformations and (ii) the effect it has on the graph

example e^(3x+2) -1

I though its was first a stretch of 1/3 parallel to the x axis, then a translation of 2 units to the left and FINALLY the whole graph moved down one unit.

Understanding that e^(3x+2) is e^2e^3x suggests that this is two stretches?

Second part...the order in whcih the lnx transformations occur has foxed me too.

Am I stretching first and then applying translations?

Thanks