Question

Resolva a equação exponencial :

2^x + 4^x = 6

Answer 1

2ˣ + 4ˣ = 6
2ˣ + 2²ˣ = 6 

m = 2ˣ

m + m² = 6
m² + m - 6 = 0 


Δ = b² - 4ac
Δ = 1 - 4.(-6)
Δ = 25

m = ( -b +/- √Δ)/2a
m = ( -1 +/- 5)/2
m' = 2
m" = - 3

Se m = 2
2ˣ = 2
x = 1