chelseaq chelseaq
  • 26-03-2018
  • Mathematics
contestada

given that square root 8^x (4^y) = 32 Square root 2, show that 3x + 4y = 11

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swafim
swafim swafim
  • 26-03-2018
[tex]\sqrt{8^x}\cdot 4^y=(2^3)^{\frac 12 x }\cdot (2^2)^y\\=2^{\frac 32 x}\cdot 2^{2y}\\=2^{\frac 32 x+2y}=32\sqrt 2=2^{\frac {11}2}[/tex]

so [tex]\frac 32 x+2y=\frac {11}2[/tex]
so 3x+4y=11

if right please mark me the brainliest, thanks
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