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Calculus Level 3

Find the value of x x satisfying x e x = 1 x e^x = 1 .

Give your answer to 4 decimal places.


The answer is 0.5671.

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Sabhrant Sachan by Sabhrant Sachan , 21, India

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1 solution

Lambert W function States , W ( x e x ) = x W(xe^x)=x .

So, W ( x e x ) = W ( 1 ) ⟹ x = W ( 1 ) ≈ 0.5671 W(xe^x)=W(1)\implies x=W(1)\approx 0.5671 .

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