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Good day to everyone.

I have some strange problem with ListContourPlot function combined with Log scaling.

For example, I build a table, like:

A = ParallelTable[{a, b, Log[1 + (b/a)]}, {a, 1, 20, 1.}, {b, {10^-3., 10^-2, 10^-1, 10^0, 10^1, 10^2, 10^3}}];

And ask Mathematica to plot a contour plot:

ListContourPlot[Flatten[A, 1], PlotRange -> Automatic]

pic1

Looks nice, but I see that the vertical axe needs to be scaled with a log-scaling function:

ListContourPlot[Flatten[A, 1], PlotRange -> All, PlotLegends -> Automatic, InterpolationOrder -> 2, ScalingFunctions -> {None, "Log", None}, DataRange -> {{1, 20}, {10^-3, 10^3}}]

And get something that has no sense to me.

pic2

So, where is the catch, what went wrong with my reasoning?

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    $\begingroup$ Here is an attempt. $\endgroup$
    – Syed
    Nov 2 '21 at 12:57
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    – bbgodfrey
    Nov 2 '21 at 13:39
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Do not use DataRange in this case, instead use PlotRange like this

ListContourPlot[Flatten[A, 1], 
 PlotRange -> {{1, 20}, {10^-3, 10^3}, All}, PlotLegends -> Automatic,
  InterpolationOrder -> 2, ScalingFunctions -> {None, "Log", None}]

enter image description here

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