4log(2logx) + 2log(4logx) =2

⁴log (²log x) + ²log (⁴log x) = 2
1/2 . ²log (²log x) + ²log (⁴log x) = 2
²log (²log x)^½ . (²log x^½) = ²log 2²
1/2 . (²log x)^3/2 = 4
(²log x)^3/2 = 8
²log x = 8^2/3
²log x = 2²
x = 2^4
x = 16 ✔