stingray said:
As far as I recall, just as Uni said it's all sort of in ratios. The amount of times zoom you get depends on the ratio between the size of the sensor (the light sensitive bit) and the lens. The numbers in mm on the lens are for 35mm cameras because that is considered a 1:1 ratio... so they can't really write that on the digital cameras unless they are FULL FRAME dslrs. instead they use the xMagnification system and often will have something like "35-400" equivalent (a la my Panasonic Lumix). I think however, approximately a 400mm focal lens will be just over 11x zoom... and a 300mm lens about 8x. Please correct me if i'm wrong but for a full frame or 35mm camera you can just divide the focal length by the film plane size to find the zoom amount. Of course for most DSLR's there is a crop factor... END RANT
This is where it gets more complicated.
First off, I think you're a bit confused about the ratios. A 10x zoom lens does not refer to the ratio between the sensor and the lens, but rather to the ratio between the shortest and longest focal lengths of the lens. For example, if you have a camera that can zoom out to 10mm and all the way in to 150mm, then it is 15x because 10mm*15x=150mm. Likewise, a 20-300mm lens is 15x, and a 5-75mm lens (if such a thing exists) would be 15x.
The sensor size becomes important when you're trying to compare lenses on different cameras. You see, in the olden days before digital cameras, 35mm SLRs all used the same size film. So a 50mm lens on one 35mm camera would give you the same field of view as a 50mm lens on another camera. But digital cameras these days come with sensors in place of the film, and since it is up to the individual camera manufacturers to put the sensors in their cameras, they can use proprietary sizes. This means that on some cameras a 50mm lens might give you a 46° FOV, while on another it might give you a 33° FOV, or on another a 13°FOV, etc. So these days many cameras list both an actual focal length for a lens and an "equivalent" focal length (or a crop factor if it has interchangable lenses), with the equivalent being equal to the length of a lens that would give you the same FOV on a 35mm camera. To take stingray's Lumix as an example, looking up the specs of the camera I find that it has a 6-75mm lens, which is approximately equal to 12x (75mm/6mm = 12.5x). However, because I don't know the actual size of the sensor, I have no way of telling exactly how wide or how zoomed in I can go with that lens. But the specifications here also list an equivalent focal length of 35mm-420mm, which is useful because I know what that would look like on a 35mm camera. I can also calculate that the sensor has a ~6x crop factor ( 35mm/6mm = 6x ), meaning that it's 6 times smaller than a 35mm frame of film. So now I know how much I can magnify my subject by comparing it to the 'reference' 35mm length.