When a single light doesn't work, the problem is almost always either the bulb, the circuit breaker (or fuse), or the switch. The first and most obvious solution is to replace the bulb with a good one and, if that doesn't work, track down the problem through a process of elimination... 1) Test the bulb and, if necessary, change it. Be sure the bulb is screwed into the socket all the way. If you put a new bulb in the socket and it still doesn't work, test the new bulb in a working socket. 2) Remove the bulb. Turn the light switch on, and check to see if the socket is receiving power by touching the two leads of a voltage tester so that one touches the brass contact at the center of the socket and the other touches the threaded metal bulb housing. If you get a reading of current, try another bulb. If you don't, go on to the next step. 3) Be sure that the circuit breaker (or fuse) for the non-working fixture has not tripped. If it has, reset the breaker or replace the fuse, and try the light again. 4) If it still doesn't work, turn off the circuit breaker that serves the non-working fixture, unscrew the cover plate from the light switch, and use a voltage tester to be sure none of the wires in the electrical box are still "hot." Then be sure the wires are securely fastened to the switch's terminals. 5) Put the cover plate back on, turn the circuit back on, and try the switch again. If it doesn't work, go on to the next step. 6) Turn the circuit back off, remove the cover plate, remove the switch and, using a multi-meter or a continuity tester, check the switch. 7) If the switch is defective, replace it with one that has the same amperage and voltage ratings. (Because switches are quite inexpensive, it isn't worth the effort to attempt repair.) 8) If the switch tests fine, remove the cover plate from the light fixture, use a voltage tester to be sure there are no hot (charged) wires in the electrical box, and then repair or replace the light fixture. Hope it works