1) 2ˣ⁺² = 2⁶
x+2 = 6
x = 4
2) 2ˣ⁻²(4 + 2 + 1) =56
2ˣ⁻²*7 = 56
2ˣ⁻² = 8
2ˣ⁻² = 2³
x-2 = 3
x = 5
3) 2ˣ⁺³ = t > 0
t² + 16t = 17
(t + 17)(t - 1) = 0
t = 1
2ˣ⁺³ = 2⁰
x+3 = 0
x = -3
4) 2⁻ˣ < 2²
-x < 2
x > -2
5) 2⁻ˣ ≤ 2⁴
-x ≤ 4
x ≥ -4
Решение дано на фото.
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Answers & Comments
1) 2ˣ⁺² = 2⁶
x+2 = 6
x = 4
2) 2ˣ⁻²(4 + 2 + 1) =56
2ˣ⁻²*7 = 56
2ˣ⁻² = 8
2ˣ⁻² = 2³
x-2 = 3
x = 5
3) 2ˣ⁺³ = t > 0
t² + 16t = 17
(t + 17)(t - 1) = 0
t = 1
2ˣ⁺³ = 2⁰
x+3 = 0
x = -3
4) 2⁻ˣ < 2²
-x < 2
x > -2
5) 2⁻ˣ ≤ 2⁴
-x ≤ 4
x ≥ -4
Verified answer
Решение дано на фото.