Respuesta :

joelito1403

Respuesta:

x=4

Factorizamos:

[tex] {3}^{x} ( 1 + {3}^{1} + {3}^{2} ) = 1053[/tex]

[tex] {3}^{x} (13) = 1053[/tex]

[tex] {3}^{x} = 81[/tex]

[tex]x = 4[/tex]

AuricTesla

...

[tex] {3}^{x} + {3}^{x + 1} + {3}^{x + 2} = 1053 \\ {3}^{x} ( {3}^{0} + {3}^{1} + {3}^{2} ) = 1053 \\ {3}^{x} (1 + 3 + 9) = 1053 \\ {3}^{x} (13) = 1053 \\ {3}^{x} = 81 \\ {3}^{x} = {3}^{4} \\ x = 4[/tex]

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