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July 2022
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Помогите решить
3*9^x-8*3^x-3>0
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sangers1959
Verified answer
3*9^x-8*3^x-3>0
3*3^(2x)-8*3^x-3>0
3^x=v
3v²-8v-3>0 D=100
v₁=3 v₂=-1/3
(3^x-3)(3^x+1/3)>0
3^x-3>0
3^x>3
x>1.
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Answers & Comments
Verified answer
3*9^x-8*3^x-3>03*3^(2x)-8*3^x-3>0
3^x=v
3v²-8v-3>0 D=100
v₁=3 v₂=-1/3
(3^x-3)(3^x+1/3)>0
3^x-3>0
3^x>3
x>1.