  We present X-ray spectra of four ultraluminous infrared galaxies (ULIRGs)
with detectable broad near-infrared emission lines produced by active galactic
nuclei (AGNs): Mrk 463, PKS 1345+12, IRAS 05189-2524, and IRAS 07598+6508. With
the exception of IRAS 07598+6508, high quality X-ray spectra obtained with XMM
or Chandra show modest (30-340 eV) equivalent widths of the 6.4 keV Fe K alpha
emission line and clear signatures for absorption at a level of 4-33 * 10^22
cm^-2 for the main power-law components from the AGNs. These spectral
properties are typical of Compton-thin AGNs, and so we estimate
absorption-corrected 2-10 keV X-ray luminosities for the AGNs, Lx(2-10keV),
using the Compton-thin assumption. We compare the Lx(2-10 keV) values with
broad optical/near-infrared emission-line luminosities, and confirm a previous
finding by Imanishi & Ueno that the Lx(2-10 keV) to broad-emission-line
luminosity ratios in ULIRGs are systematically lower than those of moderately
infrared-luminous type-1 AGNs. A comparison of independent energy diagnostic
methods suggests that the AGNs are underluminous in the 2-10 keV band with
respect to their overall spectral energy distributions, as opposed to the broad
emission lines being overluminous. This X-ray under-luminosity should be taken
into account when using 2-10 keV X-ray data to investigate the energetic
contribution from AGNs to the large infrared luminosities of ULIRGs.
