Question

Solve $x^{\frac{5}{4}-2\cos 3x}=\sqrt[4]{4x}$

Answer 1

$x^{5/4-2\cos 3x}=x^{1/4}$

$\frac{5}{4}-2\cos x=\frac{1}{4}$

$2\cos x=1$

$\cos x=\frac{1}{2}$

$x=2n\pi \pm \pi /3$