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Solve the system of equations: (log)a x(...

Solve the system of equations: `(log)_a x(log)_a(x y z)=48, (log)_a y log_a(x y z)=12 `,
`a >0,\ a!=1(log)_a z log_a(x y z)=84\ `

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`(a^(4),a,a^(7))` or `(1/a^(4), 1/a, 1/a^(7))`
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