useless question about potentiometers in parallel

[Dimitree]

I'm wondering,
if I use a dual gang pot, one gang being 1M log, the other gang 1M rev-log, and wire them in parallel, I get a single 500K linear potentiometer?
I guess yes, but I'm not able to demostrate that with math.
If true, would it be still true in case the resulting pot would be used as voltage divider?

[Kevin Mitchell]

How did we get here?

-KM

[iainpunk]

no, not at all. i asked myself this question once, this is the answer

at 50% rotation, a log pot has a ratio of 1-9, that means 100k and 900k on either side of the slider, that means that there is (100k // 900k=)90k in series with another 90k so 180k... the taper will be near linear but the resistance will change along the way. also, most log pots are comprised of 2 or 3 linear parts with different resistances, making the parallel resistance even more "wonky"

cheers,
Iain