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3^x+3^x-1+3^x-2+3^x-3=40​

Răspuns :

Răspuns:

Dam factor comun 3 la puterea x:

[tex] {3}^{x - 3} ( {3}^{3} + {3}^{2} + 3 + 1) = 40[/tex]

[tex] {3}^{x - 3} \times 40 = 40[/tex]

[tex] {3}^{x - 3} = 1[/tex]

[tex] {3}^{0} = 1[/tex]

[tex]x = 3 + 0 = 3[/tex]