Why a power curve instead of a logarithmic scale?
A logarithmic scale has a fixed shape: it always compresses the upper range in the same way. A power curve with a configurable exponent lets you tune how aggressive the compression is. At steepness 3 you get gentle compression; at steepness 7 the lower 50% of the track covers barely 1% of the value range. This flexibility made it possible to A/B test different distributions without touching any code.