  In this paper, we use the holographic principle to obtain a modified metric
of black holes that reproduces the exponentially corrected entropy. The
exponential correction of the black hole entropy comes from non-perturbative
corrections. It interprets as a quantum effect which affects black hole
thermodynamics especially in the infinitesimal scales. Hence, it may affect
black hole stability at the final stage. Then, we study modified thermodynamics
due to the non-perturbative corrections and calculate thermodynamics quantities
of several non-rotating black holes.
