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Kauedouglas333
@Kauedouglas333
December 2023
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4) Determine o valor de x nas equações abaixo:
a)5²ˣ²= 5⁸
b)2ˣ⁺¹=16
c)7ˣ⁺²=343
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poty
Resposta:
Explicação passo a passo:
a) 5²ˣ²= 5⁸
x² =
5⁸
5²
x² = 5⁶ ---> x = ±√5⁶ --> x = ±5³ --> x = ±125
S --> x₁ = -125 , x₂ = 125
b) 2ˣ⁺¹= 16
2ˣ⁺¹ = 2⁴ (Bases iguais, iguala os expoentes)
x + 1 = 4 ---> x = 4 - 1 --->
x = 3
c) 7ˣ⁺²= 343
7ˣ⁺² = 7³
x + 2 = 3
x = 3 - 2 --->
x = 1
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Resposta:
Explicação passo a passo:
a) 5²ˣ²= 5⁸
x² = 5⁸
5²
x² = 5⁶ ---> x = ±√5⁶ --> x = ±5³ --> x = ±125
S --> x₁ = -125 , x₂ = 125
b) 2ˣ⁺¹= 16
2ˣ⁺¹ = 2⁴ (Bases iguais, iguala os expoentes)
x + 1 = 4 ---> x = 4 - 1 ---> x = 3
c) 7ˣ⁺²= 343
7ˣ⁺² = 7³
x + 2 = 3
x = 3 - 2 ---> x = 1