Respuesta :

mhanifa

Answer:

  • x = -2

Step-by-step explanation:

  • [tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex]
  • [tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]
  • 2ˣ = t
  • 4t² + 3t - 1 = 0
  • 4t² + 4t - t - 1 = 0
  • 4t(t + 1) - (t + 1) = 0
  • (t + 1)(4t - 1) = 0
  • t = -1 (discounted as 2ˣ can't be negative)
  • t = 1/4
  • 2ˣ = 1/4
  • 2ˣ = 2⁻²
  • x = -2

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