Answer: (I am not a maths moderator) 
 
x=4 
 
Explanation: 
 
Multiply the exponents 
 
(2x-4)^12=(4^2)^6 (exponents multiply so) 
 
(2x-4)^12=4^12 
 
4^12 = 16777216 
 
(2x-4)^12= 16777216 
 
Take the 1/12 exponent for both sides 
 
that will remove the ^12 exponent from the left side and will take the 12th root for the right. 
 
2x-4=4 
 
add 4 to both sides 
 
2x=8 
 
divide both sides by 2 
 
x=4