Geodesic
Which function is more, $a^x$ or $x^p$?
Matematičeskoe obrazovanie, no. 3 (2021), pp. 86-88 
A. A. Ruban. Which function is more, $a^x$ or $x^p$?. Matematičeskoe obrazovanie, no. 3 (2021), pp. 86-88. http://geodesic.mathdoc.fr/item/MO_2021_3_a8/
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     author = {A. A. Ruban},
     title = {Which function is more, $a^x$ or $x^p$?},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {86--88},
     year = {2021},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_3_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The range of values $x$ is described, for which the function $x^p$ is larger than the function $a^x$. It is proved that this region is a segment $(l, r)$ and an asymptotically sharp estimate for the boundaries is given.

[1] B. P. Demidovich, I. A. Maron, Osnovy vychislitelnoi matematiki, Glavnaya redaktsiya fiziko-matematicheskoi literatury, M., 1966, 137 pp.