Question Number 5684 by sanusihammed last updated on 24/May/16
$${Find}\:{the}\:{value}\:{of}\:{x}\:.\: \\ $$$$ \\ $$$${x}^{\left({x}\:+\:\mathrm{2}\right)} \:=\:\left({x}\:+\:\mathrm{2}\right)^{{x}} \\ $$$$ \\ $$$${Thanks}\:{for}\:{your}\:{help}. \\ $$
Commented by prakash jain last updated on 24/May/16
$$\mathrm{Integer}\:{x}=\mathrm{2} \\ $$$$\mathrm{2}^{\mathrm{4}} =\mathrm{4}^{\mathrm{2}} \\ $$$$\mathrm{also}\:{x}=−\mathrm{4} \\ $$$$\left(−\mathrm{4}\right)^{−\mathrm{2}} =\left(−\mathrm{2}\right)^{−\mathrm{4}} \\ $$$$ \\ $$