Matplotlib hexbin log scale colorbar tick tags as exhibitors

Question

When creating a two-dimensional histogram with matplotlibs hexbinwith the colors of the log scale ( bins="log"), the color panel shows the exponents instead of the values:

How can I show him the values ​​and labels of the exponent labels, as in the x and y axes in the graph above?

Answer 1

A partial answer is to use norm=matplotlib.colors.LogNorm()instead bins='log'. It does not show smaller marks, but