2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203271We show that all thermodynamic quantities of the Einstein-Born-Infeld black holes in three dimensions can be obtained from the dilaton and its potential of two dimensional dilaton gravity through the dimensional reduction. These are all between non-rotating uncharged BTZ black hole (NBTZ) and charged BTZ black hole (CBTZ).17 pages, 2 figures, version to appear in PRDGeneral Relativity and Quantum Cosmologytext