Zombie Apocalypse Logs

Algebra Level 4

\[\begin{cases} \log _{ 2}{ x}+\log _{ 4}{ y }+\log _{ 4}{ z }=2 \\ \log _{ 3}{ y }+\log _{ 9}{z }+\log _{ 9}{ x }=2 \\ \log _{ 4}{ z }+\log _{ 16}{ x }+\log _{ 16}{ y }=2 \end{cases}\]

\[3x+8y+3z=?\]

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