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Mahon1234
@Mahon1234
August 2022
1
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(1/3)^x+2+5*(1/3)^x+1-(1/3)^x<7
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sangers1959
Verified answer
(1/3)ˣ⁺²+5*(1/3)ˣ⁺¹-(1/3)ˣ<7
(1/3)²*(1/3)ˣ+(5/3)*(1/3)ˣ-(1/3)ˣ<7
(1/9)*(1/3)ˣ+(2/3)*(1/3)ˣ<7
(7/9)*(1/3)ˣ<7 |÷7
(1/9)*(1/3)ˣ<1
(1/3)ˣ<9
(1/3)ˣ<(1/3)⁻²
x>-2
Ответ: x∈(-2;+∞).
7 votes
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Verified answer
(1/3)ˣ⁺²+5*(1/3)ˣ⁺¹-(1/3)ˣ<7(1/3)²*(1/3)ˣ+(5/3)*(1/3)ˣ-(1/3)ˣ<7
(1/9)*(1/3)ˣ+(2/3)*(1/3)ˣ<7
(7/9)*(1/3)ˣ<7 |÷7
(1/9)*(1/3)ˣ<1
(1/3)ˣ<9
(1/3)ˣ<(1/3)⁻²
x>-2
Ответ: x∈(-2;+∞).