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Solve equations with sums?

Posted 4 months ago
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equation

Hello, I need to solve an equation, which is shown on the picture. It contains sum where t elements must be set manually. I'm simply missing how to convert that to wolfram language. And solve x, of course

2 Replies
Posted 4 months ago

Try

t={1,3,5,12};
n=4;
Plot[1/x*Sum[1/(1+x*t[[i]]),{i,1,n}]-n*t[[n]]/((1+x*t[[n]])*Log[1+x*t[[n]]]),{x,-1,1}]
FindRoot[1/x*Sum[1/(1+x*t[[i]]),{i,1,n}]==n*t[[n]]/((1+x*t[[n]])*Log[1+x*t[[n]]]),{x,1/7}]
Posted 4 months ago

Awesome! It works)

Thank you very much!

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