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Rezolvati ecuatia ; 1 supra 27 la x = radical de ordin 3 din 9

Răspuns :

(1/27)^x=3^(2/3)


(3^(-3))^x= 3^(2/3)
baze egale, numere egale
egaland exponentii obtinem
-3x=2/3
adica
x=-2/9



sau 1/(27^x)=3^(2/3)
1/(3^3x)=3^(2/3)
 3^(-3x)=3^(2/3)
-3x=2/3
x=-2/9
1/27^x = 27 ^-x 

(27 ^-x)^3  =  9
3^(3 x (-x) x 3)  = 3^2 
3 ^-9x = 3^2 
-9x = 2 
x = -2/9