Question

Rezolvati in R ecuatia:
9^x-3*3^x+2=0

Answer 1

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Answer 2

9^x-3•3^x+2=0<=>3^(2x)-3•3^x+2=0
Notam 3^x=f ,f>0
f^2-3f+2=0
delta=9-8=1
f1=(3+1)/2=2
f2=(3-1)/2=1
Pt.f1=2=>3^x=2=>x=log baza 2 din 3
Pt. f2=1=> 3^x=1=>x=0
x apartine{0 ;log baza 2 din 3}