  This paper reports the results of Suzaku observation of the spectral
variation of the black hole binary LMCX-1 in the soft state. The observationwas
carried out in 2009 from July 21 to 24. the obtained net count rate was
$\sim$30 counts s$^{-1}$ in the 0.5--50 keV band with $\sim$10% peak-to-peak
flux variation. The time-averaged X-ray spectrum cannot be described by a
multi-color disk and single Compton component with its reflection, but requires
additional Comptonized emissions. This double Compton component model allows a
slightly larger inner radius of the multi-color disk, implying a lower spin
parameter. Significant spectral evolution was observed above 8 keV along with a
flux decrease on a timescale of $\sim$10$^4$--10$^5$ s. By spectral fitting, we
show that this behavior is well explained by changes in the hard Comptonized
emission component in contrast to the maintained disk and soft Comptonized
emission.

High Energy Astrophysical Phenomena