They are really different cameras, in which the sensor is not the key consideration. I have the RX100, and it is simply the best pocket camera I've ever owned. It's brilliant. But I also own an m4/3 system and a Nikon system for other purposes, with different-sized sensors. The only way to answer your own question is to figure out what you want to do, and that'll point you at the camera you need. Given the question you asked, though, I suspect you don't have wide experience with sophisticated digital cameras. You may well find the Fuji to be limiting and frustrating. In some ways, it's quite a specialized camera, mostly used by people going about quite specialized tasks.
