Penyelesaian dari (²log x)²+2 ²log (2/x)=1 adalah... A. x=1 B. x=4 C. x=½ D. x=√2 E. x=2

[tex] (^2log x)^2 + 2 ^2log(\frac{2}{x}) = 1 \\ (^2log x)^2 + ^2log(\frac{2}{x})^2 = 1 \\ (^2log x)^2 + ^2log(\frac{4}{x^2}) = 1 \\ (^2log x)^2 + ^2log 4 - ^2log x^2 = 1 \\ (^2log x)^2 - 2 ^2log x + 1 = 0 [/tex]
*Anggap [tex]^2log x = y [/tex]
y² - 2y + 1 = 0
(y - 1)(y - 1) = 0

y - 1 = 0
y = 1

[tex] ^2log x = 1 \\ 2^1 = x \\ x = 2 [/tex]
[E]