How does this Google Maps zoom level calculation work?

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Some numbers can be explained easily

And again the zoom level doubles the size with each step, i.e. increase the zoomlevel by one halfs the size on the screen.

zoom = 8 - log(factor * dist) / log(2) = 8 - log_2(factor * dist)
=> dist = 2^(8-zoom) / factor

From the numbers we find that zoom level eight corresponds to a distance of 276.89km.

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