Timeline for Number of distinct values taken by x^x^...^x with parentheses inserted in all possible ways
Current License: CC BY-SA 3.0
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Nov 2, 2011 at 21:30 | comment | added | Dejan Govc | A similar example I find interesting is to take the unique positive solution of $x^x=x+1$. Then you can easily check that $x^{(x^{(x^x)})} =(x^x)^{(x^x)}$ using the defining equation and the usual exponentiation rules. Although the transcendentality doesn't seem obvious anymore ... | |
Oct 31, 2011 at 4:16 | vote | accept | Vladimir Reshetnikov | ||
Oct 29, 2011 at 3:01 | history | answered | Todd Trimble | CC BY-SA 3.0 |