x-x-6-2-2-x-

Question Number 103686 by Jamshidbek2311 last updated on 16/Jul/20

x^{x^{6}} = \sqrt{2}^{\sqrt{2}} x = ?

Answered by Dwaipayan Shikari last updated on 16/Jul/20

x^{6} l o g x = \sqrt{2} . \frac{1}{2} l o g 2

6 {l o g x e}^{6 l o g x} = 3 \sqrt{2} l o g 2

6 l o g x = W_{0} (3 \sqrt{2} l o g 2)

x = e^{\frac{W_{0} (3 \sqrt{2} l o g 2)}{6}} = 1.189 \dots .