Where on earth is the fuse for the bathroom plug in??

First check the GFCI. An outlet in a bathroom will have one. If you don't see it in the bathroom, then it may be someplace else, but on the same circuit. Mine is in my bathroom, but when it pops it also takes out a bedroom outlet and my exterior outlet. If that isn't it, then you should have a 110 volt box someplace with all of your breakers.