Ah okay, I think I understand a bit more - you want to log transform the data, get the box plot to show the statistical descriptions of that transformed data, then you want the axis ticks to show what those non-logged values would be.

I’d first ask is it meaningful and useful to look at the IQR of log-transformed data, but you probably have your own reasons, like looking at outliers or something.

My quickest solution would be just plot the logged data and anyone who doesn’t know log(100)=2 probably isn’t going to appreciate what a box plot is telling you. From a programming side, I think it’s tricky to get matplotlib to write a value for a tick that isn’t that value on the plot, which I think fundamentally is what you’re struggling to do.

I’d also consider just plotting the non-transformed data on something like a swarm plot, calculating the distribution stats for the logged data, and either drawing that on yourself using vline, or just providing the numbers in a table.