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Publication details
O porovnání mocnin a^b a b^a
Title in English | On the comparison of powers a^b and b^a |
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Authors | |
Year of publication | 2017 |
Type | Article in Periodical |
Magazine / Source | Matematika, Fyzika, Informatika |
MU Faculty or unit | |
Citation | |
Web | http://www.mfi.upol.cz |
Field | General mathematics |
Keywords | powers of numbers |
Description | We deal with the problem which of the numbers a^b or b^a is greater, for any given positive real numbers a and b. Besides, we solve the equation x^y=y^x in the set of all positive reals, as well as in the subset of all positive rationals. |