Is there an analytical (maybe involving special functions) solution of an equation of the form:

$ $ \ln(1-x)-\ln(x)+\frac{a}{x}=c$ $

Here I want to solve for $ x$ , which should satisfy $ 0\le x\le1$ , and $ a,c$ are real constants.

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# Tag: $\ln1x\lnx+\frac{a}{x}=c$

## Solve $\ln(1-x)-\ln(x)+\frac{a}{x}=c$ for $x$

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Is there an analytical (maybe involving special functions) solution of an equation of the form:

$ $ \ln(1-x)-\ln(x)+\frac{a}{x}=c$ $

Here I want to solve for $ x$ , which should satisfy $ 0\le x\le1$ , and $ a,c$ are real constants.

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