Specially if you work on your own and you haven't done that many logos, the process can be quite straightforward: One or two main ideas, some alternative executions, and a final agreement. Maybe you are happy with the result, maybe it doesn't really seem to mean that much.
When I came across these examples about a year ago (had to regoogle it), it completely changed the way I looked at logo design. I think you will find them useful too:
From Concept to Completion: 50 Examples of the Logo Design Process.
Creating an effective and successful logo design is both an art and a
science. The process of logo design is a coming together of the
innovative as well as the technical.
I specially liked the Vividwaves and Metro Aviation articles, I recommend you check those. Quite inspiring!