If 2^{16^x} = 128*4^x, then find 2^x.
2^(16x) = 128 * 4^x
2^(16x) 2^7 * (2^2)^x
2^(16x) = 2^7 * 2^(2x)
2^(16x) = 2^(7 + 2x)
16x = 7 + 2x
14x = 7
x = 7/14 = 1/2
2^x = 2^(1/2) = sqrt 2