PlotRange when combining ListLogPlots using show behaves strangely?

Questions
,
1

Here is an example of a simple combination of 2 ListLogPlots using Show with a specified plot range:

Show[
{ListLogPlot[{{2, 10000}}],
  ListLogPlot[{{1, 100}}]}, 
PlotRange -> {{0, 20}, {100, 100000}}]

here is the resulting plot:

ShowCombinationofListLogPlot.jpg
ShowCombinationofListLogPlot.jpg360Ă—204 4.07 KB

Does anyone know how to resolve this without specifying the plot range for the individual plots like this

Show[{
  ListLogPlot[{{2, 10000}}, PlotRange -> {{0, 20}, {100, 100000}}],
  ListLogPlot[{{1, 100}}, PlotRange -> {{0, 20}, {100, 100000}}]}]

Thanks!

2

Show[{ListLogPlot[{{2, 10000}}], ListLogPlot[{{1, 100}}]},
PlotRange → All]

Correction: The above doesn’t quite do it as the horizontal axis is not as desired. The following works better:

Show[{ListLogPlot[{{2, 10000}}], ListLogPlot[{{1, 100}}]}, 
 PlotRange -> {{0, 20}, All}]
3

Further playing around suggests that the PlotRange setting for the vertical axis with a ListLogPlot needs to give the associated logs of the limits:

Show[{ListLogPlot[{{2, 10000}}], ListLogPlot[{{1, 100}}]}, 
 PlotRange -> {{0, 20}, {Log[100], Log[100000]}}, 
 Frame -> {{True, False}, {True, False}}]

Without the use of Frame I couldn’t get the horizontal axis to appear.

4

This works! It seems odd to me that the PlotRange limits for ListLogPlot are as expected for a single plot, but Show needs the Log of the limits when combining plots. Anyway, thank you for your help.