That's what's happening to me at this very moment. I just discovered that I could not sign out of Blogger account A so that I could sign into Blogger account B. Naturally, I googled the issue. I found that many other Blogspot bloggers are having the same problem and a resolution seems to be nowhere in sight.
Thinking that it could be a contention issue between Blogger and the Firefox browser I am using, I opened the Internet Explorer browser. Internet Explorer let me sign out of account A and into account B. Firefox is still stuck in account A.
So, if you're having this problem, try switching your browser. Hopefully, Google comes up with a fix for this Blogger problem soon but don't hold your breath. Right now, it doesn't look like they are even responding to the people reporting the problem (at least not that I found).
May you be able to log into your Blogger account ASAP!
Carole T.
