Hey there,
Actually you no need use 2 domain to configure this is because in Joomla and Easyblog already support multilingual.
You can follow this documentation here how to setup multilingual in Joomla :
http://www.templatemonster.com/help/joomla-3-x-configuration-multilanguage-site.html
Then install from backend > Easyblog > language > put your API key > select which language you want to install
Once you setup this, the visitor can switch the language from the language switcher module when they visit on your site.
By the way, please assign your domain to your license to obtain for support. You can do so by accessing your license area at
http://stackideas.com/dashboard