Consider a plt.LogScale() function like:

void LogScale(bool xAxis: false, bool yAxis: false)

This will have all sorts of side effects, but let's explore them.

A strong start is to modify the coordinate/pixel conversion functions to do a log conversion:
https://github.com/swharden/ScottPlot/blob/4bc377cc10a33ee25b20e8784a4822aee1b8ff91/src/ScottPlot/Settings.cs#L395-L411