2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64574We give the first genuine 2-variable functional equation for the 7--logarithm. We investigate and relate identities for the 3-logarithm given by Goncharov and Wojtkowiak and deduce a certain family of functional equations for the 4-logarithm.14 pages, final version, to appear in Selecta MathematicaK-Theory and Homology11G55, 33E20, 39B32text