  Given the paucity of empirical constraints, the nature of the
newly-recognized phenomena called X-Ray Flashes (XRFs) has been an open
question. However, with the recent detections of radio and X-ray afterglow it
is finally possible to study the large- and small-scale environments of XRFs.
We present Chandra, Hubble Space Telescope (HST), and Keck observations of the
fields of XRFs 011030 and 020427. Astrometric comparisons of the X-ray
transient positions and the HST images reveal the XRFs to be associated with
faint blue galaxies. Photometric evidence of these putative hosts suggests that
these two XRFs originated from redshifts less than z ~ 3.5, and thus cannot be
due to GRBs at very high redshifts. In both host-burst offsets and host
properties, these XRFs could have been drawn from distributions similar to
those measured of gamma-ray bursts (GRBs). We conclude with a discussion of the
implications of this XRF-GRB host connection for the possible progenitors of
XRFs.
