Hello,
My name is Magda Flores, I'm a Graphic Designer and I'm very interested in your project, sadly the description you gave is to short and leaves too much room for interpretation. In my experience, to design a logo I first talk with the client, what's the company/brand/project about, which are the main goals, the expectations, what should the logo represent, are there preferences or examples in which I could base/guide the logo's design. After this initial development 2 logos will be born, and one of them should be choose for the client to be perfected, the choosen logo will have 2 reviews/changes after beign choosen, and then the final logo will be done. This takes around 10 days. Because of this, 2000USD (1800 USD since 200 USD belongs to the freelancer site) is a good price, since I live in Germany this will be -for me- 1581€ for the project.
If you have any questions, or you have some more details about the project, please do not hesitate in writing me back, I usually answer back within 1 hour.
Thank you in advance for your time,
Magda Flores.-