Can someone tell me how to go about solving the attached formula. I don't know how to handle the squared log term. My calculator can't do it and Itried it on MATLAB but an error came up.

 

How about

\(ln^2(x)=ln(x)*ln(x)\)

 

Personally, I would first substitute the t = lnx then square the equation


\({\varsigma ^2} = \frac{{{t^2}}}{{{\pi ^2} + {t^2}}}\)

 

What do you mean by "my calculator can't do it"?

It's hard to imagine any calculator that can do ln() not being able to square the result.

Is the problem that you aren't aware of some of the more subtle conventions regarding math notation?

\(\ln^2(x)\ =\ \left( \ln(x) \right) ^2 \)

If so, no shame there -- we all get exposed to the pieces parts a piece at a time.

Or perhaps I am not catching what you mean by "solving the attached formula". What is it that you are solving for?