Dealing with an exponentially debilitating problem

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redbaldyhead
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I can't resolve v(cubed)/exp(v)-1
which is the RHS of an equation that has been sorted out of the left!
I am rather hoping that this becomes v(cubed)/v which simplifies to v^2.

Thanks
 
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What are you trying to express, and what are you trying to find? Are you starting with this:

\[<br /> \frac{{v^3 }}{{e^v }} - 1<br /> \]<br />
 
Sorry for the delay in responding!
No it is the RHS of Planck's equation for B(v)T
The LHS as I have reduced it to =Bc^2/2H
 
Actually =Bc^2 exp(h.kT)/2h

I think I correctly calculated the exp(h/kT) bit but I just can't figure out the rest of the equation on the RHS
Thanks for looking
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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