This
article provides a pretty good description:
"The dashed lines in the graph below show the "real" logarithmic and inverse log curves. In practice, logarithmic types which are used for audio applications do not provide a true exponential response, but follow the curve stepwise. The blue line shows the actual taper curve of an audio potentiometer. This approximation is done because it simplifies the manufacturing process. Instead of a continuously varying resistance track, two different tracks are used which overlap at the middle position. As audio volume control is a non-critical operation in general, this satisfies for these applications. Tapered potentiometers with real exponential curves are available for specialized applications."
View attachment 313656