Natural log of a variable times the variable

[ill]

so I've got this equation down to

x*ln(2/x) = 5

Can someone show/point me to a page where I can see how to solve this. I am under the impression it requires some type of ratio computation.

thanks!

 

[gb7nash]

It can't be solved for algebraically. You'll have to use software or an iterative technique. Wiki has a pretty good description of one technique called the bisection method:

http://en.wikipedia.org/wiki/Bisection_method

 

[olivermsun]

so I've got this equation down to

x*ln(2/x) = 5

Can someone show/point me to a page where I can see how to solve this. I am under the impression it requires some type of ratio computation.

thanks!

(hint: Try graphing the expression on the left.)

 

[uart]

so I've got this equation down to

x*ln(2/x) = 5

There are no real solutions to that equation. Are you interested in how to find the complex solutions?