Solve for `x, y , z`.
`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`

Explanation

let `log_ab= n`

then , `b=a^n, b^(1/k) = (a^(1/k))^n`

now, `log_(a^(1/k))(b^(1/k))= n = log_ab`

`log_2x + log_sqrt4 y ^(1/2) + log_sqrt4 z^(1/2) = 2`

`log_2 x + log_2 y^(1/2) + log_2z^(1/2) = 2 `

`log_2 xy^(1/2)z^(1/2) = 2`

`xy^(1/2)z^(1/2) = 2^2`

`x^2yz = 4^2= 16` eqn1

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