Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Given $B_r$, $B_s$, $t$ being constants, and $x$ being a variable $0\leq x\leq 1$ how can I solve this equation?

$$\frac{2 t }{x}= B_r \log B_r + B_s + B_s x \log(B_s x)$$

If i plot the two functions I see that they intersect somewhere, so a solution must exist. 

Thank you.

share|improve this question
    
What is $*$? is the multiplication? –  MphLee Apr 15 '13 at 10:21
    
Yes it is the multiplication –  Francesco Apr 16 '13 at 8:17

1 Answer 1

Mathematica refuses to solve the equation ("cannot be solved by the methods available"), so I highly doubt there will be any reasonable symbolic expression for $x$; I think your best bet is to resort to numerical approximation.

share|improve this answer
    
Yes but the only things I know about the constants is that they are constants. I don't know their value. –  Francesco Apr 15 '13 at 10:39
    
In that case I think the only option left is to define a new function $f(t, B_r, B_s)$, defined on a suitable domain, that returns the solution $x$ by definition. Perhaps you can then derive properties of this $f$ (e.g. its behaviour upon modifying the parameters). –  Lord_Farin Apr 15 '13 at 10:47

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.