Some logos are fully text-based, some have a graphic incorporated into the text, and in some the graphic is separate from the text. Additionally, there are also logos made to resemble seals or badges.
There are three options. The simplest design-wise is to create a logo based on the company’s initials. Other options are either a graphic related to their business/company name, or an abstract graphic. See below:
Companies can feature their logo in all sorts of places – website, business cards, promotional products… The logo has to “work” in each and every location it will adorn. If a company intends to make a lot of promotional products, then the logo you make for them should be easy to reproduce on any medium (pens, mugs, clothing), which sounds easier in theory than it is in practice! Logos intended solely for web use can have gradients and a wide color palette, while embroidery calls for simpler logos, with up to 3 colors.