Respuesta :

[tex]\log \frac{z^5x}{\sqrt[]{y^3}}[/tex]

Using the laws of logarithm

[tex]=\log z^5+\log x\text{ - log}\sqrt[]{y^3}[/tex][tex]\text{.}[/tex]

we will apply the next law of logarithms

[tex]=5\log z+\log x-\log y^{\frac{3}{2}}[/tex][tex]=5\log z+\log x-\frac{3}{2}\log y[/tex]