Question Number 122471 by SOMEDAVONG last updated on 17/Nov/20
$$\mathrm{2}^{\mathrm{x}} +\mathrm{2}^{\mathrm{y}} =\mathrm{40}\:,\mathrm{find}\:\:\mathrm{x\&y}? \\ $$
Answered by Dwaipayan Shikari last updated on 17/Nov/20
$${x}=\mathrm{5}\:{or}\:\mathrm{3} \\ $$$${y}=\mathrm{3}\:{or}\:\mathrm{5} \\ $$
Answered by MJS_new last updated on 17/Nov/20
$$\mathrm{if}\:{x},\:{y}\:\in\mathbb{R}\:\Rightarrow\:\mathrm{infinite}\:\mathrm{solutions} \\ $$$$\mathrm{if}\:{x},\:{y}\:\in\mathbb{N}\:\Rightarrow\:{x}=\mathrm{3}\wedge{y}=\mathrm{5}\:\vee\:{x}=\mathrm{5}\wedge{y}=\mathrm{3} \\ $$