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SahEzria
@SahEzria
December 2019
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Resolva as equações exponenciais:
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poty
a) 4ˣ = 8
(2²)ˣ = 2³
2²ˣ = 2³ <--- raízes iguais,iguala os expoentes
2x = 3 -->
x = 3/2
b)
8ˣ⁺¹ = 32
(2³)ˣ⁺¹ = 2⁵
2³ˣ+³ = 2⁵
3x + 3 = 5
3x = 5-3--> 3x = 2 -->
x = 2/3
c) 2ˣ⁺¹ = 8
2ˣ⁺¹ = 2³
x + 1 = 3 --> x = 3-1 --> x = 2
d) 5ˣ²+²ˣ = 125
5ˣ²⁺²ˣ = 5³
x² + 2x = 3
x² + 2x - 3 = 0 (Báskara)
Δ = b²-4ac= 4 + 12= 16
√Δ = +-√16 = +-4
x1 = (-2-4)/2= -3
x2 = (-2+4)/2 = 1
S= {-3, 1}
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eusouassim2027
oii
eusouassim2027
me ajuda aqui
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Lista de comentários
(2²)ˣ = 2³
2²ˣ = 2³ <--- raízes iguais,iguala os expoentes
2x = 3 --> x = 3/2
b) 8ˣ⁺¹ = 32
(2³)ˣ⁺¹ = 2⁵
2³ˣ+³ = 2⁵
3x + 3 = 5
3x = 5-3--> 3x = 2 --> x = 2/3
c) 2ˣ⁺¹ = 8
2ˣ⁺¹ = 2³
x + 1 = 3 --> x = 3-1 --> x = 2
d) 5ˣ²+²ˣ = 125
5ˣ²⁺²ˣ = 5³
x² + 2x = 3
x² + 2x - 3 = 0 (Báskara)
Δ = b²-4ac= 4 + 12= 16
√Δ = +-√16 = +-4
x1 = (-2-4)/2= -3
x2 = (-2+4)/2 = 1
S= {-3, 1}