Interpolating value from [0 to 1]. UB if out of range.
Value corresponding to t = 0. Must be > 0.
Value corresponding to t = 1. Must be > 0.
Note: You can totally have a max that is smaller than min. In this case, the range mapped with more accuracy will be small values (around max not min).
Map the [0..1] range to [min..max] logarithmically.