C
All the answers simplify to x ≥ 2, x ≠ 3 besides C. C is not possible because if a number is less than 2, it cannot be greater than 3.
4^(10)*8^(20)*16^(30)
= (2^2)^10 * (2^3)^20 * (2^4)^30
= 2^(2 * 10) * 2^(3 * 20) * 2^(4 * 30)
= 2^20 * 2^60 * 2^120
= 2^(20 + 60 + 120)
= 2^200
This is the first time I have posted an answer here. Please let me know if I'm doing this right :)