Publication details
O porovnání mocnin a^b a b^a
| Title in English | On the comparison of powers a^b and b^a |
|---|---|
| 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. |