It doesn't appear as though you can scale the y axis on a control or run chart as you suggest. What I did was use the Fit Y by X platform, placing the process factor on the y axis, and your 'Label' on the x axis. You may have to modify the x axis with Value Ordering? Then from the report hot spot, select Flexible -> Fit Each Value. This will connect all the points with a straight line between each point. Then modify the y axis scaling as one would normally to Log. If you've got control limits, you could manually add those as reference lines...cumbersome. But doable.
Here's what it looks like:
Control charts are very powerful WITHOUT transforming the data. Transformations are virtually always useless for gaining knowledge about your process. I suggest you Google Donald Wheeler's articles on the subject.