Why ListLogPlot with Graphics and Show does not work?

Dear,

I am testing ListLogPlot command and the following set of instructions did not work. Could you help me?

a = ListLogPlot[{{2, 4}, {3, 27}, {4, 256}}];
b = Graphics[Point[{3.5, 80.21}]];
Show[a, b]

Thank you,
Antonio Squadri

Try this:

a = ListLogPlot[{{2, 4}, {3, 27}, {4, 256}}];

b = ListLogPlot[{{3.5, 80.21}}, PlotStyle -> Red];

Show[a, b]

Thank you.

To place the point properly in the log plot, the y value needs to be the log.

a = ListLogPlot[{{2, 4}, {3, 27}, {4, 256}}];
b = Graphics[{Red, PointSize[0.1], Point[{3.5, Log[80.21]}]}];
Show[a, b]

Same issue as http://community.wolfram.com/groups/-/m/t/409335

That is better by far.