Решите уравнение: (log(2 , x))^2 + 3log(0,5 , x) + 2 = 0

Question

Решите уравнение:
(log(2 , x))^2 + 3log(0,5 , x) + 2 = 0

Answer 1

Log²(2)x-3log(2)x+2=0
log(2)x=a
a²-3a+2=0
a1+a2=3 U a1*a2=2
a1=1⇒log(2)x=1⇒x=2
a2=2⇒log(2)x=2⇒x=4