Question: solving an equation

Hi

how can i find x in terms of y(x)

 

y(x)=integral exp(-x)/(sqrt(exp(-2 x) + a) - sqrt(a)) dx = e^x (sqrt(a + e^(-2 x)) + sqrt(a)) - log(sqrt(a + e^(-2 x)) + e^(-x)) + constant
(assuming a complex-valued logarithm)

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