We have analyzed the thermodynamic properties of magnetized black-hole in the
background of non-linear electrodynamics with two parameters β and
γ. We have studied the Bekenstein-Hawking entropy, Hawking temperature,
specific heats in two-dimesional surface plots as a function of event horizon
(r+​) and γ. We showed the variation profiles of the above
thermodynamic parameters for γ [0→1]. We identified
regions of parameters for the possible phase-transitions and the stability of
the black-holes.Comment: 6 pages, 8 figure