Login vs log in

A firm I do business with sent email that said, "Login to view your account information." I logged in, and when I had logged out again, it said, "You have logged out." If they wanted to be consistent, thy would have said, "You have logouted."

For understandable reasons we use the term "login" as a noun that means the action and consequences of logging in. The verb, however, remains two words. Thus, they should have said, "Log in to view your account information."