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25-04-2021
Mathematics

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

Respuesta :

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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