I would use the lowest ISO setting available - you don't need much sensitivity - the Moon is a source of light after all. This is also why I would choose a fast shutter. If you can set your camera to different modes, I would start with an aperture priority mode, zoom in as close as it gets using optical zoom (some cameras offer programmatic zoom, but don't use that because your photo will have lower quality).
Your camera will want to measure the light reflected from the Moon, and the black background and average the frame for what it considers a good exposure. If the moon does not fill your frame, the camera will want to overexpose to compensate for the black background. If you fill the frame with the Moon you get a better chance for a good measurement.
Naturally, if your camera lets you control the exposure triange - ISO, shutter and aperture then you can just experiment until you get a good exposure.
Here is some more info about photographing the Moon:
How to photograph the Moon