Respuesta :

Solution:

The expression is given below as

[tex]3\log_48-5\log_42[/tex]

To figure out the logarithm, we will use the formula below

[tex]a\log_xm=\log_xm^a[/tex]

By applying the principle

[tex]\begin{gathered} 3\operatorname{\log}_48-5\operatorname{\log}_42 \\ =\log_48^3-\log_42^5 \end{gathered}[/tex]

To simplify further, we will apply the principle below

[tex]\begin{gathered} \log_xA-\log_xB \\ =\log_x(\frac{A}{B}) \end{gathered}[/tex][tex]undefined[/tex]