Mathematics: Given that square root 8^x (4^y) = 32 square root 2, show that 3x + 4y = 11

Given that square root 8^x (4^y) = 32 square root

Ответ:

emilylittle2442

14.03.2022

$\sqrt{8^x}\cdot 4^y=(2^3)^{\frac 12 x }\cdot (2^2)^y\\=2^{\frac 32 x}\cdot 2^{2y}\\=2^{\frac 32 x+2y}=32\sqrt 2=2^{\frac {11}2}$

so $\frac 32 x+2y=\frac {11}2$
so 3x+4y=11

if right please mark me the brainliest, thanks

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Ответ:

sheram2010

25.02.2020

Mathematics

9.75*1.2+24.5*0.8
11.7+19.6=31.3
31.3 min reading.

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