When you start a business you always need a identity for it. That is where logo kicks in. If the logo is professionally designed than there are better chances that people will recognize your brand better. Take my blog for example, if I had started with no logo no one would had given me ads or taken my blog seriously. I would recommend get a professional designer to get your logo designed.
As a designer I always look around other peoples work to get inspiration. Here today I have collected some Moon logo designs for your inspiration that will give some good exposure. Also you will see how the designers have manipulated the shapes to make them their own designs. Enjoy these and do drop back for more stuff.
Blue Heaven
Crescent Moon Shop
Green Moon
Midnight Bite
Lovely Dreams
Moonlight Logo
Honeymoon
Moon Balloon