4^{2 x} - 4^{2 x - 1} + 4^{2 x - 2}>52

Question

4^{2 x} - 4^{2 x - 1} + 4^{2 x - 2}>52

Answer 1

4^{2 x} - 4^{2 x - 1} + 4^{2 x - 2}>52
4^2*4^{2 x - 2} - 4* 4^{2 x - 2} + 4^{2 x - 2}>52
13 * 4 ^(2x-2) > 52
4^(2x-2)>4
2x-2>1
2x>3
x>3/2=1.5
x=(1.5 +00)