correct logout functionality?

Multisite 3.3.1

If I logout of http://domain.com/bart/wp-admin/ should the logout screen show http://domain.com/bart/wp-login.php?loggedout=true

or

http://domain.com/wp-login.php?loggedout=true

I am asking because if bart logs out at http://domain.com/bart/wp-login.php?loggedout=true then the cary tries to login with her password she cannot sign on. Is this an error in my htaccess or correct functionality?