Want the logo to have an icon separate from the name of the business. The icon needs to be round or square so it can occasionally be used as a stand alone item to represent the business as either a profile picture or a favicon.
Want the name of the business to be clean and legible. Don't mind incorporating a little creativity in the logo font, but more of the creativity should be in the icon and the overall layout of the design.
The icon doesn't have to be literal (like a laser) but it shouldn't be completely random either. The user should be able to figure out why we use that icon, because it either represents beauty, transformation, science, medicine, etc.
No leaves, plus signs or just random symmetrical shapes. When you look at the icon, it should make sense that it's something that has to do with their business.
Check out their website for more details: http://www.myadvancedlaser.com