Respuesta :

[tex]\log_(\frac{y^3}{x^2z^4})[/tex]

Explanation:

. Formula

[tex]a\log_{\placeholder{⬚}}(x)=\log_{\placeholder{⬚}}(x^a)[/tex][tex]\begin{gathered} 3\log_{\placeholder{⬚}}y=\log_{\placeholder{⬚}}y^3 \\ 2\log_x=\log_{\placeholder{⬚}}x^2 \\ 4\log_{\placeholder{⬚}}z=\log_{\placeholder{⬚}}z^4 \end{gathered}[/tex]

. Putting them together with the proper signs:

[tex]\log_{\placeholder{⬚}}y^3-\log_{\placeholder{⬚}}x^2-\log_{\placeholder{⬚}}z^4=\log_{\placeholder{⬚}}(\frac{y^3}{x^2z^4})[/tex]