I'm not familiar with logic soundlab, but I've read a lot about power acoustik and I have extensive personal experience w/lanzar.
For entry/budget amps I would say the PA and Lanzar Vibe would be similar in performance. I've use a vibe 230, 430 and 1200D and thought they were all great performers for the price. The 1200D did give me a little headache, but eventually I did get good results with it.
If you have the $$ to step up to Lanzar optidrive they're some of the better amps on the market.
my brother has 2 logic soundlabs and his amp is also a logic soundlab they are great subs and amp but can be alot of money if you want there top end stuff like the EX1200 http://www.logicsoundlab.com/ex1200.html great subs right there!