Joomla Favicon – How to Change the Default Joomla Favicon
If you want to change the default Joomla 2.5 favicon / Joomla 3.0 favicon on your web site you should replace the favicon.ico file kept in the templates/your_template_name folder with the new one.
You can create a favicon manually on your computer or you can use an online favicon generator like this one.
Once you are ready clear your browser's cache (your Joomla's cache as well if it is enabled) and reload your website.
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