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IL-GILLIS 1995 Problem 1

    Solve the system {x+log⁡(x+x2+1)=yy+log⁡(y+y2+1)=zz+log⁡(z+z2+1)=x\begin{cases} x+\log\left(x+\sqrt{x^2+1}\right)=y y+\log\left(y+\sqrt{y^2+1}\right)=z z+\log\left(z+\sqrt{z^2+1}\right)=x \end{cases}

    Dataset text AI-MO AoPS. Quoted with source.

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