2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115644Considering the equation $$a^x+b^y = c^z,$$ Le gives an upper bound on the number of solutions $(x,y,z)$, and a bound on $z$. Here we give slight improvements to these results, also removing the restriction that $a$, $b$, $c$ be squarefree.Number Theory11D61; 11D99text