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Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
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Please help me. 4^(x+1)+2^(x+1)+2^x-1=0

Please help me. 4^(x+1)+2^(x+1)+2^x-1=0-example-1
User Danfromisrael
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1 Answer

4 votes

Answer:

  • x = -2

Explanation:


  • 4^(x+1)+2^(x+1)+2^x-1=0

  • 4*2^(2x)+2*2^x+2^x-1=0
  • 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
User Nathan Amick
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