I also have a LX2 camera. Except when shooting a macro or a tele
photo, the truth is that it is difficult to judge "bokeh" because
almost everything is in focus.
The LX2 is not going to beat an SLR in this department but; if you do the following:
i) Set macro mode using the switch on the lens.
ii) Use aperture priority mode.
iii) (I think) Zoom in on the subject while moving the lens as close to the subject as you can.
iv) Bottom out the aperture.
Doing this, you should be able to get quite reasonable blurring. I have a couple of examples somewhere - will post them to my Flickr account and do a comparison.
In the meantime, here is one I did with the aperture set to the maximum (as always with me, quite by accident) that nevertheless demonstrates some Bokeh (not sure how that works but I'm sure someone here can explain).
And for an unfair comparison (just not the same conditions), here's one I accidentally got with my D40:
- Canon EOS M58.8%
- Panasonic G85/G803.3%
- Panasonic FZ2500/FZ20001.9%
- Panasonic LX10/LX151.2%
- Panasonic GH5 development3.6%
- Sony a99 II15.9%
- Nikon KeyMission 170 and 801.0%
- Fujifilm GFX 50S development28.3%
- Olympus E-M1 II development18.7%
- Olympus E-PL80.1%
- Olympus 25mm F1.2 Pro1.5%
- Olympus 12-100mm F4 IS Pro1.9%
- Olympus 30mm F3.5 Macro0.1%
- Sigma 85mm F1.4 Art3.6%
- Sigma 12-24mm F4 Art2.6%
- Sigma 500mm F4 DG OS HSM Sport2.4%
- YI M12.2%
- GoPro Hero50.8%
- GoPro Karma drone2.2%