When describing a logo to an artist you've hired, what should you write and in what format? Tried to find some documents intended for artists, so that I can have an artist reproduce my design from written form to actual graphics, but I am not sure what to include and in what format. I am trying to do it as professionally as possible, so I would need to see some examples to learn from them.
You need to create something called "Creative brief". There is no one format that covers all situations, it is not the same if you are writing a brief for a small company or some big corp.
Take a look at some general guidelines:
In a nutshell, you should let the designer know the basic company info, tagline, colors, target audience, a sentiment that you want to achieve, etc.
It would be best to reserve some time to discuss each point with the designer. If they have been in a game for a long time, they know what should be avoided.