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nikita156557
@nikita156557
August 2022
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решите пожалуйста задание 1.2.3.4
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m11m
1) 4^(1+2x)≥16
4^(1+2x)≥4^2
1+2x≥2
2x≥1
x≥0.5
2)(1/6)^(x-3)≤36
(6^(-1))^(x-3)≤6^2
6^(-x+3)≤6^2
-x+3≤2
-x≤-1
x≥1
3) (1/9)^(4-x)≥27
(9^(-1))^(4-x)≥3^3
(3^(-2))^(4-x)≥3^3
-8+2x≥3
2x≥11
x≥5.5
4) 8^(3+4x)≤0.125
8^(3+4x)≤8^(-1)
3+4x≤-1
4x≤-4
x≤-1
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Answers & Comments
4^(1+2x)≥4^2
1+2x≥2
2x≥1
x≥0.5
2)(1/6)^(x-3)≤36
(6^(-1))^(x-3)≤6^2
6^(-x+3)≤6^2
-x+3≤2
-x≤-1
x≥1
3) (1/9)^(4-x)≥27
(9^(-1))^(4-x)≥3^3
(3^(-2))^(4-x)≥3^3
-8+2x≥3
2x≥11
x≥5.5
4) 8^(3+4x)≤0.125
8^(3+4x)≤8^(-1)
3+4x≤-1
4x≤-4
x≤-1