I log back in when I log out.
 

I tried to log out to make myself my usual mule that I have one every avatar community but after I log out, it logs me right back in, so I can't go around and find the register link.

Why does this happen? xD;
Will a mod have to make my mule for me and tell me the password to it?

try clearing your cache/cookies, if you have the [remember me] box checked it will keep logging you back in even when you hit log out XD