Warning: No Longer Working!
As @JohnSmith commented below, the solution suggested here appears to no longer be functional.
An alternative to hosting your own server logging might be JSConsole.com. It's a general purpose remote debugger for JavaScript. Just register a listener, paste the script tag it generates into your page, then fire up an instance on any device. The debugger is bidirectional, so not only does the logging get forwarded to the remote console on JSConsole, you have full access to the JS environment on the remote client.