How to control Facebook chat settings on Facebook iPhone App? Go offline?

Hi so I know that you can go "offline" on facebook mobile chat. But even offline, any time you use the Facebook app on the iPhone it shows that you are "active" and will even say the last time I was logged on. Is there a way to go completely "invisible" or just put everything on the mobile app private?

Sorry

The Only thing you Can Do is Go Offline Sorry There's no Way to Go Invisible Completely