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Question Number 32908 by artibunja last updated on 06/Apr/18

2018^(2017)  > 2017^(2018)  or  2018^(2017)  < 2017^(2018)   ?

$$\mathrm{2018}^{\mathrm{2017}} \:>\:\mathrm{2017}^{\mathrm{2018}} \:{or} \\ $$ $$\mathrm{2018}^{\mathrm{2017}} \:<\:\mathrm{2017}^{\mathrm{2018}} \:\:? \\ $$

Commented byTinkutara last updated on 06/Apr/18

Do just like Q 32897.

Commented bymrW2 last updated on 06/Apr/18

for 3≤n<m:  ^n (√n)>^m (√m)  or  n^m >m^n

$${for}\:\mathrm{3}\leqslant{n}<{m}: \\ $$ $$\:^{{n}} \sqrt{{n}}>\:^{{m}} \sqrt{{m}} \\ $$ $${or} \\ $$ $${n}^{{m}} >{m}^{{n}} \\ $$

Answered by artibunja last updated on 06/Apr/18

Yes, I have solution in two ways   and I will post later

$${Yes},\:{I}\:{have}\:{solution}\:{in}\:{two}\:{ways}\: \\ $$ $${and}\:{I}\:{will}\:{post}\:{later} \\ $$

Answered by artibunja last updated on 06/Apr/18

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