For some reason you're getting a lot of wrong or just bad replies. But the answer to your question is yes both sRGB/gamma2.2 & log are non-linear, but almost in the opposite direction. gamma2.2 is exponential not logarithmic. As in, it's spending all its bits on the lower half of the brightness range, whereas log is actually spending more bits in the highlights.
It actually looks more like HLG in this way.
https://www.artstation.com/blogs/tiberius-viris/3ZBO/color-s... has some plots of the curves to compare visually