Respuesta :

rvkacademic

Answer:

Choice 3

[tex]log \frac{x^2y}{z^2}[/tex]

Step-by-step explanation:

We use 3 of the rules of logarithms

  • Product Rule :          

              [tex]\log (ab) = \log a + \log b[/tex]

  • Quotient Rule:  

               [tex]\log\frac{a}{b} = \log a - \log b[/tex]      

  • Power Rule

               [tex]\log (a^n) = n\log a[/tex]

[tex]\log\frac{x^2y}{z^2} =\ log(x^2y) - \log(z^2)[/tex]     (quotient rule)

[tex]\log(x^2y) = \log x^2 + \log y[/tex]           (product rule)

[tex]\log x^2 = 2\log x[/tex]                         (power rule)

[tex]\log z^2 = 2\log z[/tex]                            (power rule)

Final result

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

Otras preguntas