Question Number 93081 by Ar Brandon last updated on 10/May/20
$$\mathrm{Solve}\:\mathrm{x}^{\mathrm{y}} =\mathrm{y}^{\mathrm{x}} \:\:\:\mathrm{x},\:\mathrm{y}\:\in\:\mathbb{N} \\ $$
Commented by mr W last updated on 10/May/20
$${x}={y}={n}\in\mathbb{N} \\ $$$${or} \\ $$$${x}=\mathrm{2},{y}=\mathrm{4} \\ $$$${or} \\ $$$${x}=\mathrm{4},{y}=\mathrm{2} \\ $$
Commented by Ar Brandon last updated on 10/May/20
thanks Sir, Good Evening
Commented by Rio Michael last updated on 10/May/20
$$\mathrm{okay}\:\mathrm{sir},\:\mathrm{but}\:\mathrm{i}\:\mathrm{really}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:\mathrm{this}\:\mathrm{method}. \\ $$