Step-by-step explanation:
[tex] \log(x) = - 1[/tex]
[tex] \log(y) = 6[/tex]
[tex] \log(z) = 2[/tex]
[tex] \: [/tex]
[tex] = \log( \frac{ {x}^{3}y }{ {z}^{2} } )[/tex]
[tex] = \log( {x}^{3} \times y \div {z}^{2} )[/tex]
[tex] = \log( {x}^{3} ) + \log(y) - \log( {z}^{2} )[/tex]
[tex] = 3 \log(x) + \log(y) - 2 \log(z)[/tex]
[tex] = 3.( - 1) + 6 - 2[/tex]
[tex] = - 3 + 6 - 2[/tex]
[tex] = 1[/tex]
