Firebug does it in a way similar to Chrome, as well. This is really my last withstanding gripe with the Firefox developer tools; if they make logging objects more useful, I will drop Firebug in a heartbeat.
It helps, but the key feature of Firebug for me in this regard is that, if the object is an HTML element, I can click on it and it will take me to that element in the HTML view. The built-in tools don't have this yet.
See this screenshot:
http://note.io/HxSxmK