7×3^х-2+20×3^2-х меньше 41/3^х-2. Created by melana15. algebra-ru

3^х-2...

melana15 @melana15

August 2022 1 11 Report

7×3^х-2+20×3^2-х меньше 41/3^х-2

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sangers1959

Verified answer

7*3ˣ⁻²+20*3²⁻ˣ<41/3ˣ⁻²
7*3ˣ⁻²+20/3ˣ⁻²<41/3ˣ⁻²
Пусть 3ˣ⁻²=t>0 ⇒
7t+20/t<41/t |×t
7t²+20<41
7t²<21 |÷7
t²<3 ⇒
(3ˣ⁻²)²<3
3²ˣ⁻⁴<3¹
2x-4<1
2x<5 |÷2
x<2,5.
Ответ: x∈(-∞;2,5).

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