Question

preciso da resolução!!

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle2^{x-3}+2^{x-1}+2^{x}=52\\2^{x}.2^{-3}+2^{x}.2^{-1}+2^{x}=52\\\\\frac{2^{x}}{2^{3}}+\frac{2^{x}}{2^{1}}+2^{x}=52\\\\\frac{2^{x}}{8}+\frac{2^{x}}{2}+2^{x}=52\\\\2^{x}(\frac{1}{8}+\frac{1}{2}+1)=52\\\\2^{x}(\frac{1+4+8}{8})=52\\\\2^{x}(\frac{13}{8})=52\\\\2^{x}=52.(\frac{8}{13})\\\\2^{x}=32\\\\2^{x}=2^{5}\\\\x=5$