2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52234In this paper we study braneworld cosmology when the bulk space is a charged black hole in de Sitter space (Topological Reissner-Nordström de Sitter Space) in general dimension, then we compute leading order correction to the Friedmann equation that arise from logarithmic corrections to the entropy in the holographic-branworld cosmological framwork. Finally we consider the holographic entropy bounds in this senario, we show the entropy bounds are also modified by logarithmic term.12 pages, no figure,references added, clarifying comments added, has been accepted for the publication in Eur.Phys.J.CHigh Energy Physics - TheoryLogarithmic correction to the Brane equation in Topological Reissner-Nordström de Sitter Spacetext