I have very nice birch cabinets that are 10 years old.  The only problem is that the hinge screws are constantly loosening.  I've tried putting glue in the screw holes but that only lasts a short time.  Any ideas about how to fix this permanently?

You can drill the holes to about 1/8 or 1/4 diameter, glue proper size dowels in the holes. Drill new holes for the screws and attach again. Otherwise, try epoxy, but that will make it hard to remove the hinges if you ever need to do so.