Shift a curve in logarithmic scale

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I have two datasets, dataset 1 is the result of experiment (a peak) and the dataset 2 is the result of simulation (a peak). Normally, both datasets should be plotted in the same figure in logarithmic scale and then, to shift the dataset 2 towards dataset 1 and to find the best vertical translation.
The point is that the amount of shift in logarithmic scale is not a constant value for each point (in the contrary to linear scale) and it depends on the Y values of the data (bigger Y value, bigger shift).
I have tried to write a code to do it automatically but it didn't work and I don't know how to code it!
Tnanks in advance for any help and any idea.

Accepted Answer

J. Alex Lee
J. Alex Lee on 3 Oct 2022
shifting in log scale is actually a multiplication, not an addition - is that what you need?
J. Alex Lee
J. Alex Lee on 3 Oct 2022
An equation is worth a hundred words :)

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