okekesarah01642112
okekesarah01642112 okekesarah01642112
  • 25-04-2021
  • Mathematics
contestada

Please solve the exponential equation:
2^2x -6(2^x)+8=0​

Respuesta :

mhanifa
mhanifa mhanifa
  • 25-04-2021

Answer:

  • x = 2

Step-by-step explanation:

  • 2²ˣ - 6*2ˣ + 8 = 0
  • 2ˣ = t

  • t² - 6t + 8 = 0
  • t² - 6t + 9 = 1
  • (t - 3)² = 1
  • t - 3 = 1
  • t = 4

  • 2ˣ = 4
  • 2ˣ = 2²
  • x = 2
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