Storm Information page from LG&E.
Apparently, it does no good to attempt to report a downed line to LG&E. That option puts you in a call queue for a customer service representative, but that queue expires in about 3 minutes.
In those three minutes, you get loud hold music that cuts out every few seconds, and the warning that you will be waiting for a long time. Of course, at the end of about three minutes, you get a message about all customer service reps being extremely and you are told to hang up.
Why have a call queue that makes you get back in line every 3 minutes? Maybe as @bdthomas suggested, they need to take reports via Twitter. Heck, e-mail, web form, anything. Let us set it and forget it.