The problem is due to Joomla User plugin. As we need to use the fbconnect components, we may disable the plugin carelessly.
Normally, you login administrative panel and disable Joomla User plugin.
When the other users login, the effect for different browers is / are:
redirect again and again for a long long time
At this time if you logout from administrative panel, you will not able to login again from front-end and back-end.
The solution is to enable the Joomla User plugin.
if you can't login to administrative panel, you need go to the database.
Find the database of joomla and go to the table XXX_plugins (XXX is the prefix of the database when you install joomla).Then you can find User - Joomla!, change the published field from 0 to 1. Then, normally you can login again.
Hope it can help!!