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

User Ticofab
by
8.1k points

1 Answer

6 votes

Answer:

  • x = 2

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
User Brett Sutton
by
8.8k points
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