Question

Equação Exponencial 4^{x} -10·2^{x} +16 = -125

Answer 1

Ola Perrutramos

4^x - 10*2^x + 16 = 0

y = 2^x

y² - 10y + 16 = 0 

delta
d² = 100 - 64 = 36
d = 6

y1 = (10 + 6)/2 = 16/2 = 8
y2 = (10 - 6)/2 = 4/2 = 2

2^x1 = 8 = 2^3 , x1 = 3

2^x2 = 2 = 2^1 , x2 = 1

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