Bathroom lighting problem

[Stevanos]

Hi chaps

We have a problem in our bathroom where we have no natural day light and also one low wattage, badly located light making the bathroom a bad place for the Mrs to do her stuff. We rent, so we can't do anything much with the wiring, however there is a 110V shaving socket located next to our mirror cabinet.

I'm thinking that there must be a way for us to get a cabinet with lights in it that we could pluggin, or even re-wire that socket?

Does anyone know if this is possible and whether such a cabinet exists, I'm in Sweden to add to the confusion!

Thanks

[Stevanos]

The problem is the ceiling light does not exist, it is a wall light that is directly above the cabinet, so the light is blocked by the cabinet itself.