It is currently unknown whether the universe was reionized by quasars or st
ars at z greater than or similar to 5. We point out that quasars can be bes
t distinguished from stellar systems by their X-ray emission. Based on a si
mple hierarchical CDM model, we predict the number counts and X-ray fluxes
of quasars at high redshifts. The model is consistent with available data o
n the luminosity function of high-redshift quasars in the optical and soft
X-ray bands. The cumulative contribution of faint, undetected quasars in ou
r model is consistent with the unresolved fraction of the X-ray background.
We find that the Chandra X-ray Observatory might detect similar to 10(2) q
uasars from redshifts z greater than or similar to 5 per its 17' x 17' fiel
d of view at the flux threshold of similar to 2 x 10(-16) ergs s(-1) cm(-2)
. The redshifts of these faint point sources could be identified by follow-
up infrared observations from the ground or with the Next Generation Space
Telescope.