Remove "Logout" Button/Text From Commenting Area

Hey I'd like to remove the "logout" text button that
is right next to the "Logged In As" text. I've got my
reasons and would like a little help here

Please direct me and offer as detailed instructions
as possible. Thank you!

https://img.skitch.com/20110529-ri6d2k6cw2yp67uq2n6qbnhbeb.png