Solve-the-equation-2-x-x-11-with-Omega-Function-

Question Number 148914 by naka3546 last updated on 01/Aug/21

S o l v e t h e e q u a t i o n

2^{x} + x = 11

w i t h O m e g a F u n c t i o n .

Commented by naka3546 last updated on 01/Aug/21

t h a n k y o u, s i r .

Commented by mr W last updated on 01/Aug/21

2^{11} = (11 - x) 2^{11 - x}

2^{11} \ln 2 = (11 - x) \ln 2 e^{(11 - x) \ln 2}

(11 - x) \ln 2 = W (2^{11} \ln 2)

x = 11 - \frac{W (2^{11} \ln 2)}{\ln 2} = 3

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