Graphic Design Tutorials Publishes tutorials for various graphic design related categories including vector drawing, logo design, etc.
Graphic Tutorials Similar site publishing graphic design, illustrator and adobe photoshop tutorials.
Community MX, has made available an absolute beginner's guide to Adobe Illustrator. It has pictures and easy step by step tutorials.
Other places you might find interesting are the official support pages of the graphic design tool that you are using. Adobe Illustrators official support pages has some articles but they are not very helpful to beginners. There are many other websites, but you pay attention to those who focus more on learning new things rather than teaching old design techniques.
Logo Design is more about brand identity and marketing, so a basic understanding of these things can help you nurture into a great logo designer. There are plenty of job opportunities for those who can draw a custom logo design.
Graphic design is a vast feild and of course it is not limited to logo design. In fact the marketing industry is the largest employee of all sort of graphic design artists.
