  Recently, there has been much attention devoted to resolving the quantum
corrections to the Bekenstein--Hawking (black hole) entropy. In particular,
many researchers have expressed a vested interest in fixing the coefficient of
the sub-leading logarithmic term. In the current paper, we are able to make
some substantial progress in this direction by utilizing the generalized
uncertainty principle (GUP). Notably, the GUP reduces to the conventional
Heisenberg relation in situations of weak gravity but transcends it when
gravitational effects can no longer be ignored. Ultimately, we formulate the
quantum-corrected entropy in terms of an expansion that is consistent with all
previous findings. Moreover, we demonstrate that the logarithmic prefactor
(indeed, any coefficient of the expansion) can be expressed in terms of a
single parameter that should be determinable via the fundamental theory.
