Zombie Apocalypse Logs

Algebra Level 4

{log2x+log4y+log4z=2log3y+log9z+log9x=2log4z+log16x+log16y=2\begin{cases} \log _{ 2}{ x}+\log _{ 4}{ y }+\log _{ 4}{ z }=2 \\ \log _{ 3}{ y }+\log _{ 9}{z }+\log _{ 9}{ x }=2 \\ \log _{ 4}{ z }+\log _{ 16}{ x }+\log _{ 16}{ y }=2 \end{cases}

3x+8y+3z=?3x+8y+3z=?

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