  We calculate the logarithmic correction to the entropy of asymptotically flat
and AdS black holes (rotating, non-rotating, charged, and uncharged) embedded
in Einstein-Maxwell-dilaton (EMD) theories with $U(1)$-charged. The leading
quantum gravitational corrections are achieved in both extremal and
non-extremal limits of black hole temperature by designing a common Euclidean
gravity setup that evaluates the "logarithmic term" from one-loop effective
actions via heat kernel method-based calculations. EMD theories are universal
building blocks of compactified string theory or supergravity models in 4D. For
a concrete example, we generalize the entire setup and calculate logarithmic
corrections for black holes in $U(1)^2$-charged EMD models intersecting with
$\mathcal{N}=4$ ungauged and gauged bosonic supergravity. In contrast to flat
backgrounds, all the AdS$_4$ results are found to be non-topological, providing
a wider "infrared window" into the microscopic degrees of freedom of black
holes in string theory.
