More compact than the LX3, better zoom range, very good low light performance thanks to the bright lens and surprisingly good ISO performance even at 800, excellent image stabilization, excellent and easy to use controls (you don't have to wade through layers of menus to change a setting), priced well. Only small gripe is moderate battery life...i've been averaging probably around low 200 shots per charge but it depends on how much I've been chimping.
Do you have any specific inquiries?