The light switch on the combo fan/light switch in my bathroom went out.

How do I repair this, or should I get an electrican to do so?

If you are comfortable changing a normal light switch, the combo should be essentially the same--except that there are two switches in the same box. I would expect 3 wires (not including any ground wire) instead of just 2. There will also be a bundle of white wires tied together, but you need not disturb that.

If you're not entirely comfortable replacing a normal light switch, then you should call a good handyman or an electrician. Electricity is not something you want to mess with!

Hope this helps,
WallyH