fafalone Posted September 11, 2003 Share Posted September 11, 2003 So, can anyone solve for y in terms of x? yx=xy I sure can't solve it, and my TI-89 couldn't solve it either. Link to comment Share on other sites More sharing options...
Kedas Posted September 11, 2003 Share Posted September 11, 2003 if x=y is already one solution I guess you already knew that one Link to comment Share on other sites More sharing options...
fafalone Posted September 11, 2003 Author Share Posted September 11, 2003 That's a specific solution, not the general solution. Link to comment Share on other sites More sharing options...
Kedas Posted September 11, 2003 Share Posted September 11, 2003 Yeah, I know I was curious so I did search the internet a bit. This could be a good start: (I can't read it) http://www.zahlentheorie.de/forum/messages/618.html If you want more brain trouble you can find that here: http://www.mathematik.uni-bielefeld.de/~sillke/ solution : http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/x%5Ey-x%5Ey Link to comment Share on other sites More sharing options...
YT2095 Posted September 12, 2003 Share Posted September 12, 2003 I`m no good at maths, but is the answer 1? it`s seems to be the only number that wont perpetuate the problem. Link to comment Share on other sites More sharing options...
Kedas Posted September 12, 2003 Share Posted September 12, 2003 YT2095 said in post #5 :I`m no good at maths, but is the answer 1? Yes, together with all the other numbers you can think of (assuming y=x) Link to comment Share on other sites More sharing options...
YT2095 Posted September 12, 2003 Share Posted September 12, 2003 but if x and y were the same then using 2 would make 4 throwing the rest of it out, it would just loop and get bigger. whereas with 1 it can loop all it likes and X and Y can still be the same forever. maybe I just understand the prob? I did say I was crap at maths Link to comment Share on other sites More sharing options...
Kedas Posted September 12, 2003 Share Posted September 12, 2003 Soo you are the one that invented loops ?? serious: I have no idea what loops have to do with this equation. It's like (but more complicated): x^2=2Y what is X? Answer X=SQRT(2Y) Link to comment Share on other sites More sharing options...
YT2095 Posted September 12, 2003 Share Posted September 12, 2003 X~Y I can see x=y doesn`t seem right somehow? not in terms of real values other than 1. the loop I saw as if x=y and y=2 then X^2=4, then wouldn`t it read as 4=2^y and since weve already established that, it would read as x^4=y^x and it would just get bigger? but I pictured it in my head, so probably not the best place to work things out actualy on a re read I must have been trippin, ignore it Math`s aint ma strong point, but I thought I`de have a go anyway at the risk of PROOVING I`m lousey maths, as an oportunity to learn something Link to comment Share on other sites More sharing options...
Kedas Posted September 12, 2003 Share Posted September 12, 2003 examples: Y=X=1 1^1=1^1 (1=1) Y=X=2 2^2=2^2 (4=4) Y=X=3 3^3=3^3 (27=27) Y=X=4 4^4=4^4 (256=256) Y<>X 2^4=4^2 (16=16) Although I can imagine it is looping in your head They say I have a lot of patience Link to comment Share on other sites More sharing options...
YT2095 Posted September 12, 2003 Share Posted September 12, 2003 YUP!!! 100% that`s how I saw it you just put it a kazillion times better than I could it was a bit like a NOT gate that fed back to itself. I still don`t get what use that equasion could be though or how it`s employed in maths? (never done any real Algebra other than Boolean). and thnx for your patients Link to comment Share on other sites More sharing options...
NSX Posted September 12, 2003 Share Posted September 12, 2003 YT2095 said in post #11 :YUP!!! 100% that`s how I saw it you just put it a kazillion times better than I could it was a bit like a NOT gate that fed back to itself. I still don`t get what use that equasion could be though or how it`s employed in maths? (never done any real Algebra other than Boolean). and thnx for your patients You could do it trivially, but as you say, it goes on & on & .... Check those sites that kedas posted; some of that stuff is over my head though Link to comment Share on other sites More sharing options...
Snorlax Posted September 13, 2003 Share Posted September 13, 2003 I think x^y=y^x could only work if x is a factor or multiple of y, and vice verse. But I am not sure........ Link to comment Share on other sites More sharing options...
lqg Posted September 18, 2003 Share Posted September 18, 2003 i made a thread about this in physicsforums: http://physicsforums.com/showthread.php?s=&threadid=4013 btw thanks kedas for the solution. Link to comment Share on other sites More sharing options...
Dave Posted September 18, 2003 Share Posted September 18, 2003 I certainly can't find a solution and I've been thinking about it for the best part of 2 days now Link to comment Share on other sites More sharing options...
YT2095 Posted September 19, 2003 Share Posted September 19, 2003 Sweet! I don`t feel like such a "Dumb a$$" now if Dave can`t solve it Link to comment Share on other sites More sharing options...
Guest clifford zagnut Posted October 2, 2003 Share Posted October 2, 2003 let cp=x%(cp/z)+5y Link to comment Share on other sites More sharing options...
Dave Posted October 2, 2003 Share Posted October 2, 2003 ? Link to comment Share on other sites More sharing options...
neo_maya Posted October 20, 2003 Share Posted October 20, 2003 fafalone said in post #1 :So, can anyone solve for y in terms of x? yx=xy HI, I had this small question about this problem. Here it is - I was just wondering - I always thought that .....amm... it takes at least two equations to solve a two variable problem. I mean, shouldn't there be another equation like y=x or y = 5x ? I thought that we can draw a graph with one equation and from there we can get the point where the curve intersects the x - axis. (Though I am not quite sure how we can draw one in this case) I mean I tried this - ln(x^y) = ln(y^x) => ylnx = xlny but couldn't go further to draw a graph. But I think graph is not the thing u want, right ?. So, my question is - can we solve one equation with two variables? If so, how ? If the procedure is complicated u don't have to explain it - just give the name of the preocedure or better if u can post a link. THANKS [ PS : How did u write y^x = x^y this way - yx=xy ] Link to comment Share on other sites More sharing options...
Sayonara Posted October 20, 2003 Share Posted October 20, 2003 Use the sub and sup tags to write subscript and superscript. Link to comment Share on other sites More sharing options...
neo_maya Posted October 21, 2003 Share Posted October 21, 2003 Sayonara³ said in post #21 :Use the sub and sup tags to write subscript and superscript. [ THENKS A LOT ]infinity Link to comment Share on other sites More sharing options...
Sayonara Posted October 21, 2003 Share Posted October 21, 2003 That'sokay! Link to comment Share on other sites More sharing options...
Dudde Posted October 21, 2003 Share Posted October 21, 2003 bleedin'morons Link to comment Share on other sites More sharing options...
YT2095 Posted October 21, 2003 Share Posted October 21, 2003 clifford zagnut said in post #19 :why do you faggots keep deleting my posts? you had better get rid of your own eye dandruff before you point out my polondial cyst. i'd also like to point out that you're all a bunch of ponies galloping around someone's sick idea of... well, anyway, here's the thing: since i've got my a.s., i've lost my creativity. so my advice to all of you is to go read the a.s.o.i. Dudde: And THEN SOME!!!!? Link to comment Share on other sites More sharing options...
neo_maya Posted October 21, 2003 Share Posted October 21, 2003 Dudde said in post #24 :bleedin'morons ______________________________________ :flame: :stupid: :rant: :down: ______________________________________ :jk: [ I hope jk = just kidding ] ______________________________________ By the way - no no no no - BTW - How do u insert an image in a message ? Link to comment Share on other sites More sharing options...
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