Respuesta:
[tex]x=6[/tex]
Explicación paso a paso:
[tex]2^{x+4} + 2^{x+3} + 2^{x+2} + 2^{x+1} = 1920\\\\(2^{3} + 2^{2} + 2 + 1) . 2^{x+1} = 1920\\\\(8 + 4 + 2 + 1) . 2^{x+1} = 1920\\\\15 . 2^{x+1} = 1920\\\\2^{x+1} = 128\\\\2^{x+1} = 2^{7} \\\\x + 1 = 7\\\\x = 7 - 1\\\\x = 6[/tex]
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Respuesta:
[tex]x=6[/tex]
Explicación paso a paso:
[tex]2^{x+4} + 2^{x+3} + 2^{x+2} + 2^{x+1} = 1920\\\\(2^{3} + 2^{2} + 2 + 1) . 2^{x+1} = 1920\\\\(8 + 4 + 2 + 1) . 2^{x+1} = 1920\\\\15 . 2^{x+1} = 1920\\\\2^{x+1} = 128\\\\2^{x+1} = 2^{7} \\\\x + 1 = 7\\\\x = 7 - 1\\\\x = 6[/tex]