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We have analyzed the thermodynamic properties of magnetized black-hole in the background of non-linear electrodynamics with two parameters and . We have studied the Bekenstein-Hawking entropy, Hawking temperature, specific heats in two-dimesional surface plots as a function of event horizon () and . We showed the variation profiles of the above thermodynamic parameters for []. We identified regions of parameters for the possible phase-transitions and the stability of the black-holes.

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