Geodesic
Which function is more, $a^x$ or $x^p$?
Matematičeskoe obrazovanie, Tome 99 (2021) no. 3, pp. 86-88.

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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. 
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A. A. Ruban. Which function is more, $a^x$ or $x^p$?. Matematičeskoe obrazovanie, Tome 99 (2021) no. 3, pp. 86-88. http://geodesic.mathdoc.fr/item/MO_2021_99_3_a8/

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