Piyush0070888
Feb 20, 2011, 12:30 PM
Hii,
   Plzz tell me how should I get 'x' frm the foll equn... 
      ln(x) = 1/x
Plzzz answer as fast as u can... I'm stuck up in a problem!
Unknown008
Feb 21, 2011, 08:14 AM
There is no easy way, and the closest way I know of solving it is using Newton-Raphson's method.
 
You can look it up on the net. Wikipedia has an article about it: Newton's method - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Newton%27s_method)
 
You can have a look at the 'Examples'
 
What to basically have to do here, is to make x the subject of formula, so that you get a number which appears to get smaller.
 
Eg. 
\ln(x) = \frac1x
 
x = e^{(1/x)}
 
Let x = 2.
 
x_1 = e^{(1/2)} = 1.6487...
 
Now, you take that value and put it as x, that is:
 
x_2 = e^{(1/1.6487...)} = 1.8340...
 
Now you continue doing this until you are satisfied with the number.