When I open my web browser, it opens to the last page I was on.
In settings, I've selected www.foxnews.com for my home page.
You would need to close the browser for it to open in your home page. I'm not quite sure how that would work on the X but on the Droid it's settings/applications/manage applications/all/browser/force stop.
It will also happen when you shut your X off, of course.
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I think dolphin hd, dolphin, or xscope are all better than the stock browser. You might want to try those. They have an exit button, tabs, and allow you to set user agent to computer/desktop.