One specific way these two cameras are comparable is in the matter of image quality.
I intend to carry out some experiments to measure this, so watch out for them in the coming weeks.
For quite a while now I have been using my D60 exclusively with the Nikon 35mm AF-S f1.8 lens, so it should be easy enough to make the comparisons using the LX3 at around the same focal length setting.
This photo of a tree taken in dull, overcast weather, is for starters:

Thanks for good and interested sharing
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