The focal length values on a lens give you a better indication of how it magnifies you view than the "x times optical zoom" attribute. So instead of saying the kit lens is a 3x zoom, it is described as a 18-55 zoom. This is to distinguish it from a 70-210 lens, which is also a 3x zoom but would give you a more magnified view, better at photographing far away objects.
You can buy a 10x zoom (such as the Canon EF-S 18-200), but I wouldn't recommend it, as you would be missing out on one of the greatest advantages of an interchangeable lens system!
Lens design is a compromise, making a 10x zoom lens generally means quality will suffer, either at the wide end or the tele end, or probably both. It's a swiss army knife of a lens, and a swiss army knife is always bettered by a full size saw or a proper screwdriver.
The best zoom lenses are usually between 2x and 3x. You would be better served by a 18-55mm lens and a 70-200mm lens, to give you your 10x range (with a small gap). 70-200s are not cheap lenses, but they are exceptionally good. My final piece of advise would be to start shooting with the 18-55 and find out what range you really need before spending any money. If you find you are always cropping the middle 50% out of your images that indicates you need at least 100mm.