The draggable-points module handles logarithmic axes pretty bad, see this fiddle: https://jsfiddle.net/5bkf7pL8/2/

I did however find an old stackoverflow issue regarding this ( https://stackoverflow.com/questions/18036117/high-charts-draggable-not-working-for-log-scale ) where a solution was found for the old experimental plugin.

This example ( http://jsfiddle.net/yn1jaL60/ ) shows that dragging is freely permitted, but that there are some bugs with the rendering of the markers, it would seem. So, would be nice to be able to do the actions in fiddle nr 2, with the performance and visuals of fiddle nr 1.