MLU is a feature on most cameras, although you may have to go digging in the menus to find it. It is sometimes incorporated into the 2 or 10 second timer delay. After MLU is engaged and the shutter is pressed, the mirror is flipped up out of the way and the viewfinder goes dark because it is no longer receiving light. To take the photo, press the shutter release again.
When using MLU, place your camera on a tripod, compose your shot, enable MLU, press the shutter button to take an image (or optionally, use a remote shutter release cable to further prevent any camera shake), and then check your photo on the LCD, does it still look the same as before MLU was enabled? If not, then either the subject or your tripod has moved.