I design my own logos. It is fairly easy to learn logo design with adobe illustrator. Nobody is going to care more about your own logo than yourself. I spend lots of time designing each logo to be used for my own projects, and I would never be able to pay a deisgner to spend that much time on any of my logos. Once you know how to do it yourself, you never have to buy another one.
If I didn't know how to make a logo, I would probably pay around $10-50 for a low budget site, and $100-200 for a bigger project. If it was for a massive authority site, I would spend more, but not until it was actually established and banking.