Question

encuentra el valor de n + 2

$\frac{ {2}^{13} + {2}^{n} }{ {2}^{n} + {2}^{5} } = {2}^{4}$
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Answer 1

Respuesta:

n + 2 = 9 + 2 = 11

Explicación paso a paso:

Hola espero que entiendas ✌️

$\frac{ {2}^{13} + {2}^{n} }{ {2}^{n} + {2}^{5} } = {2}^{4} \\ {2}^{13} + {2}^{n} = {2}^{4} \times ({2}^{n} + {2}^{5})$

${2}^{13} + {2}^{n} = {2}^{4} \times {2}^{n} + {2}^{9} \\ {2}^{13} - {2}^{9} = {2}^{4} \times {2}^{n} - {2}^{n}$

${2}^{13} - {2}^{9} = {2}^{n}( {2}^{4} - 1)$

$( {2}^{9} \times ( {2}^{4} - 1)) \div ( {2}^{4} - 1)= {2}^{n}$

${2}^{9} = {2}^{n} \\ n = 9$

Encuentra el valor de:

n + 2 = 9 + 2 = 11 //