2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98185We present a brief survey of the methods used in deducing upper estimates for irrationality measures of the logarithm values. We particularly expose the best known estimates for $\log2$ (due to E. Rukhadze), $π$ (due to M. Hata) and $\log3$ (due to G. Rhin).16 pages, LaTeXNumber TheoryClassical Analysis and ODEs11J82 (Primary), 11J72, 33C05, 33C65 (Secondary)text