Question

Пожалуйста помогите! Полное решение

Answer 1

log²(2) x = log(2) x + 2

одз x > 0

log(2) x = t

t² - t - 2 = 0

D = 1 + 8 = 9

t12 = (1 +- 3)/2 = 2    -1

t = 2

log(2) x = 2

x = 4

t = -1

log(2) x = -1

x = 1/2

x = {1/2,4}