Rezolvati in multimea numerelor reale ecuatia log(2) x + log(x) 2 = 2

Răspuns :

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Hihi...am uitat sa pun conditia : x ∈ (0,1) U (1,+∞)
Vezi imaginea JOLIEJULIE
log₂x+login x din2=2   x>0  si x diferit de 1
tinem cont ca login x din2=1/log₂x
notam 
log₂x=t
t+1/t=2
(t
²-2t+1)/t=0
(t-1)²=0   t=1 radacina dubla
revenim la substitutie
log₂x=1   x=2¹=2