Notice the picture below, see the length "l"?
well

solve for "w", to find the width,
what's the length? well, l = 11/4 w
(4 to the 4 power) to the x power = 4 to the 32 power
(4^4)^x = 4^32
4^4x = 4^32
4x = 32
x = 8
Answer
x = 8
I believe the answer is 6.
Solve for x by simplifying both sides of the equation, than isolating the variable.
x ≤ 8/3 or x ≥ 8