I am a big fan of symmetry and aesthetics. I want the logo to represent these two qualities.
Be creative! Here's a website for some examples: http://designshack.net/articles/graphics/50-fantastically-clever-logos/
I have 2 ideas for the logo.
1. Use the letter "Y" in the word "GYM" to be the actual logo/picture. Think of the letter "Y" with muscles on it. I want a subtle but creative look to it. Very unique. I attached a few pictures of bodybuilders with their hands up in a shape of a Y to give you an idea. I don't want the guy to be a HUGE bodybuilder on steroids...I want the guy to be Muscular and ripped naturally lol.
2. Also there is a play on words between SOULDIERS. The proper way to spell it is soldiers. I added the U to make it SOUL because my goal is to integrate the mind, body and spirit. So I want SOUL to be a different color than diers. Just make sure they are perceived as different.
The simpler, more elite and aesthetically pleasing to the eye, the better.
Don't be afraid to unleash your creativity.