As others mentioned solar is just fine. I believe the majority of the energy will be needed to keep the batteries warm enough to work (like the drone that is currently on Mars). Bouncing the signal back to earth will be more problematic as you need a satellite orbiting the moon.
Actually, it wouldn't need to be that long. The circumference of the moon is 40k kilometres, so assuming the site was in the center of the far side (though there's no reason it needs to be), that would put it at ~10,000 km from sight of the earth.
That's shorter than some transatlantic cables. I reckon it would be doable.
