The MX-1's 4x optical zoom lens looks a lot like that in the Olympus XZ-1 and XZ-2. It has 11 elements in eight groups, and a 35mm-equivalent focal length range of 28 to 112mm.
Maximum aperture varies from f/1.8 at wide angle to f/2.5 at telephoto, and the minimum aperture is f/8. There's also a built-in ND filter, but we don't yet know its strength.
However, if you enable set the exposure mode to priority or manual, and opt to use electronic shutter, you get a greatly expanded range of 1/8,000 to 30 seconds. There's also a Bulb mode. ( 哇! B 快門!)..