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Ecuatie exponentiala:
[tex]( \frac{3}{2} )^{x+1}*(\frac{8}{9})^{1-x}=(\frac{2}{3})^{-2}[/tex]


Răspuns :

trebuie sa aducem toti termenii la aceeasi baza
(3/2)ˣ⁺¹ * (3/2)²⁽¹⁻ˣ⁾ = (3/2)²
(3/2)ˣ⁺¹⁺²⁻²ˣ= (3/2)²
egalam exponentii
x+1+2-2x=2
-x=-1
x=1

proba
(3/2)²=(2/3)⁻² adevarat

Doamne ajuta!