Understanding the client's business and their competitors within their industry.
Plan the concepts of the logo, where it would be used, what it's about, the logo type, colours, and other aspects.
Sketch out a few concepts by hand to get different ideas, and then work on the best designs.
Select the best concepts and create good designs in vector format.
Present a few finished designs to the client for their review and make any desired changes.
Complete the design with multiple formats with guides to their use.