Question

Jika ²logx^(1+²logx)=2 maka nilai x₁+x₂=
a. 2 ¹/₄
b. 2 ¹/₂
c. 4 ¹/4
d. 4 ¹/²
e. 6 ¹/₄

Answer 1

²logx^(1+²logx)=2
(1+²logx)²logx=2
²log²x +  ²log x - 2 = 0
(²logx + 2)(²logx - 21) = 0
²logx = -2 /⇒ x1 = 2^-2 = 1/4
²logx 9= 1 ⇒ x2 = 2^1 = 2
maka nilai x₁+x₂= 1/4 + 2 = 9/2