Question

UUOPA pode me ajudar?​

Answer 1

Resposta:

x = 5

Explicação passo a passo:

$2^{x-3}+2{x-1}+2^{x} = 52\\\\2^{x} * 2^{-3} + 2^{x}*2^{-1} +2^{x} = 52\\\\2^{x}(2^{-3} + 2^{-1} + 1) = 52\ \ \ \ seja \ 2^x = y\\\\y(2^{-3} + 2^{-1} + 1) = 52\\\\y(\frac{1}{8}+\frac{1}{2}+1) = 52\\\\y(\frac{13}{8} ) = 52\\\\\frac{13}{8} y = 52\\\\\\13y = 416\\\\y = \frac{416}{13}\\\\y = 32$

agora voltamos a expressão que igualamos a y...

$2^{x} = 32\\\\2^{x} =2^{5}\\\\x = 5$

Bom dia =)

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