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

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26-03-2018
Mathematics

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

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swafim swafim · Answer 1 · 2018-03-26T16:03:13+02:00

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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