Question Number 32908 by artibunja last updated on 06/Apr/18
$$\mathrm{2018}^{\mathrm{2017}} \:>\:\mathrm{2017}^{\mathrm{2018}} \:{or} \\ $$$$\mathrm{2018}^{\mathrm{2017}} \:<\:\mathrm{2017}^{\mathrm{2018}} \:\:? \\ $$
Commented by Tinkutara last updated on 06/Apr/18
Do just like Q 32897.
Commented by mrW2 last updated on 06/Apr/18
$${for}\:\mathrm{3}\leqslant{n}<{m}: \\ $$$$\:^{{n}} \sqrt{{n}}>\:^{{m}} \sqrt{{m}} \\ $$$${or} \\ $$$${n}^{{m}} >{m}^{{n}} \\ $$
Answered by artibunja last updated on 06/Apr/18
$${Yes},\:{I}\:{have}\:{solution}\:{in}\:{two}\:{ways}\: \\ $$$${and}\:{I}\:{will}\:{post}\:{later} \\ $$
Answered by artibunja last updated on 06/Apr/18
