This paper presents a BeppoSAX observation of NGC 7582 made during 1998 Nov
ember and an optical spectrum taken in 1998 October. The new X-ray data rev
eal a previously unknown hard X-ray component in NGC 7582, peaking close to
20 keV. Rapid variability is observed with correlated changes in the 5-10
and 13-60 keV bands, indicating that a single-continuum component, produced
by the active nucleus, provides the dominant flux across both bands. Compa
rison between RXTE and BeppoSAX data reveals changes in the 2-10 keV flux o
n timescales of months. Changes in the nuclear X-ray flux appear unrelated
to the gradual decline in optical flux noted since the high state in 1998 J
uly. The 0.5-2 keV flux of NGC 7582 is not significantly variable within th
e BeppoSAX observation but has brightened by a factor of similar to 2 since
the ASCA observation of 1994. While there is some concern about contaminat
ion from spatially unresolved sources, the long-term variability in soft X-
ray flux seems most likely associated with the nucleus or an event within t
he host galaxy of NGC 7582. The 2-100 keV spectrum is well fit by a power l
aw of photon index Gamma = 1.95(-0.18)(+0.09), steeper by Delta Gamma simil
ar or equal to 0.40 than the index during the 1994 ASCA observation. The X-
ray continuum is attenuated by a thick absorber of N-H similar to 1.6 x 10(
24) cm(-2) covering similar to 60(-14)(+10) % of the nucleus plus a screen
with N-H similar to 1.4 x 10(23) cm(-2) covering the entire nucleus. Compar
ison of the BeppoSAX and ASCA spectra shows an increase in the full screen
by Delta N-H similar or equal to 7 x 10(22) cm(-2) since 1994, confirming t
he absorption variability found by Xue et al. The increase in soft X-ray fl
ux between 1994 and 1998 is consistent with the appearance of holes in the
full screen, allowing less than or similar to 1% of the nuclear flux to esc
ape and producing some clear lines of sight to the broad-line region. The d
ata are also consistent with the scenario suggested by Aretxaga et al. of t
he radiative onset of a Type IIn supernova causing the observed optical cha
nge in NGC 7582.