Find the natural numbers $x, y, z$ that verify the equation: $$2^x + 3 \cdot 11^y =7^z$$
Problem
Source: 2019 Romanian NMO grade VIII P4
Tags: number theory, Diophantine equation, diophantine
Source: 2019 Romanian NMO grade VIII P4
Tags: number theory, Diophantine equation, diophantine
Find the natural numbers $x, y, z$ that verify the equation: $$2^x + 3 \cdot 11^y =7^z$$
