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Author Topic: Halp!  (Read 346 times)
Offline  Kap
Maggot
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DERP
Posts: 42
Someone in here happen to be good at maths who could help me out?

Well, I do know the business:
  • Solve for x
I guess im just missing the obvious, but I just cant solve it by hand. Could someone please help me out and solve it step by step?
WolframAlpha shows that the solution is which doesn't really help me as I never worked with the Lambert W function before.
« Last Edit: February 14, 2011, 09:03:20 AM by Kap »
   
Offline  Gizm0
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Posts: 4
It has been a long time since my math days, but I think it goes something like this:

a^2 * ln(x) + (1 - a^2)/x = b^2 * ln(x) + (1 - b^2)/x
a^2 * ln(x) + (1 - a^2)/x - b^2 * ln(x) - (1 - b^2)/x = 0
ln(x) * (a^2-b^2) + (b^2 - a^2)/x = 0
x * ln (x) * (a^2-b^2) = (a^2 - b^2)
x * ln (x) = (a^2 - b^2)/(a^2 - b^2)
x * ln (x) = 1
ln (x^x) = 1
x^x = e
x = ln(e)/W(ln(e))
x = 1/W(1)
W(1) = omega ~ 0.5671... (check wiki page, how to calculate this)
x ~ 1.76322

 :D
   
Offline  Kap
Maggot
*

DERP
Posts: 42
Thanks <3

x^x = e
x = ln(e)/W(ln(e))
x = 1/W(1)
W(1) = omega ~ 0.5671...
No way I could've figured that part out myself...
Gotta love my teacher for giving us homework like this without explaining fucking anything.

Well, thanks again Gizm0  :D
   
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