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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

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.

Piyush0070888 · Feb 23, 2011, 11:43 PM

Thanks a lot... :)