Given that 3√42x = 16, find the value of x

Given that ³√4^2x = 16, find the value of x

The correct answer is: C

³√4^2x = 16
this implies that (³√4^2x)³ = (16)³
4^2x = 4^2*3
4^2x = 4⁶
∴ 2x = 6
x = 3