Question

Rezolvati in multimea numerelor reale ecuatia log in baza 3 (x la 2-8x)=2

Answer 1

Am atasat rezolvarea in imagine.

Answer 2

C.E.

x²-8x>0

x∈(-∞;0)∪(8;∞)

Rezolvare:

3²=x²-8x

x²-8x-9=0

x²-9x+x-9=0

x(x-9) +x-9=0

(x-9)(x+1)=0

x1=-1∈Domeniului

x2=9∈Domeniului]

S={-1;9}