That's neither logarithmic nor what log cameras capture. See the link posted by the sibling comment[1] for the actual curves.
If you see an S-curve, that's usually what you will try to map the captured images too because it allows for increased detail in both shadows and highlights, while allowing a natural dynamic range in the middle areas. Log capturing allows you to have a much higher dynamic range (with a given number of bits), and thus more easily map to the S-curve that you want.
If you see an S-curve, that's usually what you will try to map the captured images too because it allows for increased detail in both shadows and highlights, while allowing a natural dynamic range in the middle areas. Log capturing allows you to have a much higher dynamic range (with a given number of bits), and thus more easily map to the S-curve that you want.
1: https://www.enriquepacheco.com/blog/s-log-tutorial