Question

resolva:
2×+¹ +2×=48

2²×-6.2×+5=0

3×-²=9

Answer 1

2×+¹ +2×=48 ==> 2.2^x + 2^x = 48 ==> 3.2^x = 48

2^x = 16 ==> 2^x = 2^4 ==> x = 4
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2²× - 6.2× + 5 = 0 ==>   a² - 6a + 5 = 0

 2^x = a

Δ = (-6)² - 4.1.5 ==> 36 - 20 = 16                                √16 = 4

a = 6+/-4  ==> a1= 5   ;  a2 = 1
          2
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achar o valor de x :

2^x = a1 ==> 2^x = 5      não serve bases diferentes   V = Ф

2^x = a2 ==> 2^x = 1 ==> 2^x = 2^0 ==> x = 0

S = { 0 }

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3×-² = 9 ==> 3^x - 2 = 9  ==> 3^x - 2 = 3^2 

 x - 2 = 2 ==> x = 2 + 2 ==> x =  4