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How can one overlay graphics objects (like Rectangles) on Log-Log axes?

Thanks

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    $\begingroup$ I think linked topics should fit your needs but let me know if I missed the point or you don't agree. $\endgroup$ – Kuba Jul 30 '17 at 19:28
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ListLogLogPlot[RandomInteger[{1, 10}, 6],
 PlotMarkers -> Graphics[{EdgeForm[Black], Rectangle[]}],
 PlotStyle -> Opacity[0.5]]

enter image description here

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