Timeline for Which of these numbers is greater: $\sqrt[5]{5}$ or $\sqrt[4]{4}$?
Current License: CC BY-SA 3.0
7 events
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| Jul 26, 2013 at 12:40 | comment | added | Nikolaj-K | @mike: I pointed out the the graph of $x^x$ is positive and so I showed $4^4<5^5$. I didn't solve your problem though, I misinterpreted it. Btw. you can go to the website Wolphramalpha.com and plot any function you like, for exmaple by typing Plot[x^x,{x,1,3}] or Plot[x^(1/x),{x,1,3}]. | |
| Jul 26, 2013 at 12:29 | comment | added | mike | I'm sorry Nick but could you explain this to me better, or maybe draw a graph, I think I'm a little bit cofused | |
| Jul 26, 2013 at 11:53 | comment | added | Nikolaj-K | @AmiteshDatta: Don't worry, I'm not a fan of the reputation system anyway. (It makes people feel they need to write in a certain style once they got some, and on the other side, if a poster with many points posted an answer, even if it's only an OK answer, often no more answers follow. I recently spent 1500 points on bounties just to get rid of it. On the physics board, I spent about 5000 points on bounties - and I can now empirically say that it doesn't improve the answer quality. The questions which get bounties are usually so hard (or broad) that nobody bothers anyway.) | |
| Jul 26, 2013 at 11:19 | comment | added | Amitesh Datta | No problem, Nick! I would still upvote your answer nonetheless (because it presents a new idea) but I've exhausted my daily vote limit of 40 votes. But I will upvote your answer tomorrow! | |
| Jul 26, 2013 at 10:41 | comment | added | Nikolaj-K | @AmiteshDatta: Oh, yeah that's right. My bad. | |
| Jul 26, 2013 at 10:03 | comment | added | Amitesh Datta | Yes, that's true but we're not looking at numbers of the form $x^{x}$ here; rather, we're looking at numbers of the form $x^{\frac{1}{x}}$ ... | |
| Jul 26, 2013 at 10:01 | history | answered | Nikolaj-K | CC BY-SA 3.0 |