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marusiaivaiva
@marusiaivaiva
July 2022
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Пожалуйста помогите решить!!!
8^^2x-5*8^x-24>0
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sangers1959
Verified answer
8²ˣ-5*8ˣ-24>0
Пусть 8ˣ=t ⇒
t²-5t-24>0
t²-5t-24=0 D=121
t₁=8 t₂=-3
(t-8)(t+3)>0 ⇒
(8ˣ-8)(8ˣ+3)>0
8ˣ+3>0 ⇒
8ˣ-8>0
8ˣ>8¹
x>1
Ответ: x∈(1;+∞).
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Answers & Comments
Verified answer
8²ˣ-5*8ˣ-24>0Пусть 8ˣ=t ⇒
t²-5t-24>0
t²-5t-24=0 D=121
t₁=8 t₂=-3
(t-8)(t+3)>0 ⇒
(8ˣ-8)(8ˣ+3)>0
8ˣ+3>0 ⇒
8ˣ-8>0
8ˣ>8¹
x>1
Ответ: x∈(1;+∞).