Вопрос школьника по предмету Алгебра
Помогите решить неравенство
(log2x)^2x-4log2x+3<0
Ответ учителя по предмету Алгебра
если условие такое:
log₂² x — 4log₂ x + 3 < 0
log₂x = t
t² — 4t + 3< 0
D = 16 — 12 = 4
t = 3 или t = 1
1 < t < 3
1 < log₂ x < 3
2 < x < 2³
x∈(2 ; 8)
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