Question

392^(x)=2401*2^(2x+2) 

Answer 1

2^3x *7^2x=7^4 *2^(2x+2)
2x=4⇒x=2
3x=2x+2⇒x=2

Answer 2

$392^x=2401*2^{2x+2}, 392^x=2401*2^{2x}*2^2, 98^x*4^x=2401*4*4^x,$$98^x=9604, 98^x=98^2, x=2$