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13 la puterea x la a 2 + x+1=13 la puterea 5x-2

Răspuns :

13^(x^2+x+1)=13^(5x-2)
x^2+x+1=5x-2
x^2-4x+3=0
x^2-x-3x+3=0
x(x-1)-3(x-1)=0
(x-1)(x-3)=0
x-1=0  x=1
x-3=0  x=3


verificare
13^(1^2+1+1)=13^(5×1-2) 
13^3=13^3

13^(3^2+3+1)=13^(5×3-2)
13^13=13^13