Question

$2^{X} ^{+} ^{1} +2^{X} ^{-} ^{1} =20$

Answer 1

Respuesta:

${2}^{x + 1} + {2}^{x - 1} = 20 \\ {2}^{x} . {2}^{1} + {2}^{x} . {2}^{ - 1} = 20 \\ {2}^{x} ({2}^{1} + {2}^{ - 1}) = 20 \\ {2}^{x} (2 + \frac{1}{2} ) = 20 \\ {2}^{x} ( \frac{5}{2} ) = 20 \\ {2}^{x} ( \frac{1}{2} ) = 4 \\ {2}^{x} = 8 \\ {2}^{x} = {2}^{3} \\ x = 3$

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