Question

Решите уравнение:$2^{3cos2x} = frac{4}{ sqrt{2} }$

Answer 1

$2^{3cos 2x}= frac{4}{sqrt{2}}\ \ 2^{3cos 2x}=2^{1.5}\ \ 3cos2x=1.5\ \ cos2x= frac{1}{2} \ \ 2x=pm frac{pi}{3} +2 pi n,n in mathbb{Z}\ \ x=pmfrac{pi}{6}+pi n,n in mathbb{Z}$