^ I don't agree that film is essentially log. It is log in the center, and that definitely includes 2 stops above and below the actual center, but it has a very particular rolloff in the highlights and in the shadows. That is, it has a very strong S curve.
Random graph from a quick google search:
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The center part of the chart range is the linear range, the curves at the ends are the log compression response. An S curve essentially describes a logarithmic progression. Response is is increasingly non-linear as you move away from center.



