Posted by Nick_G on 20/11/2016 16:14:01:
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They 'bridge' the gap between a compact and an SLR.
Personally I don't see the point of them as they are very nearly the size of some of the smaller SLR cameras.
They do however usually have quite a long zoom on them as standard so you don't have to carry a bag of lenses with you. – However. The lens on them is usually quite slow (high f stop) and so at longer focal lengths will require the use of a tripod for best results. You cannot have it all.! Image stabilisation on them will help a bit I suppose but IMHO they are a marketing ploy that works well for them in sales.
Clearly the voice of the pro photographer 
Much lighter than a DSLR, and (with mine) 22mm to 1,000mm all usable hand held with the image stabilisation – see the cormorant above, taken on a dull, rainy day at 400ISO, no tripod.
Not sure I buy the slow lens argument either, its f3 at 22mm (my 28mm wide angle is f2.8) and f5.9 at 1000mm (my 400mm tele lens is f6.3).
The smaller sensors than DSLRs mean the demands on the optics are less but can be noisier (but the noise from modern sensors is pretty small). You also get more depth of field which can be an advantage (macro work) or a disadvantage (when you want shallow DoF).
The strong point for me is the ability to frame anything, quickly.
For me the two weak points are lack of long exposures and no RAW (although some new ones have RAW).
They are a bit like a swiss penknife approach to photography, although a top-notch Leatherman might be a more accurate comparison.