Hi, do you photos of the lighting in this bathroom? Not sure what you mean by "can't not switch this on".

Unfortunately I don't have pictures. what I mean is that this light comes on when I have to switch on the exhaust fan. They have the same switch button. I hope it is clear and thanks a lot.

I believe you would require an electrician to separate the two. If the lighting is bad, can you put a lamp on top of the vanity, or hang a wall sconce? Some sconces are the 'plug in' type and can be mounted to the wall, and then covered with a cord cover.