KCase9837 KCase9837
  • 15-01-2020
  • Mathematics
contestada

In Exercise, expand the logarithmic expression.
ln 4x(x - 7)/x^2

Respuesta :

lisboa lisboa
  • 15-01-2020

Answer:

[tex]ln(4)+ln(x)+ln(x-7)-2ln(x)[/tex]

Step-by-step explanation:

[tex]ln \frac{4x(x-7)}{x^2}[/tex]

Apply log properties

[tex]ln(mn)= ln m + ln n[/tex]

[tex]ln \frac{4x(x-7)}{x^2}[/tex]

[tex]\frac{ln(4x)+ln(x-7)}{x^2}[/tex]

[tex]ln(\frac{m}{n} )=ln(m)-ln(n)[/tex]

[tex]\frac{ln(4x)+ln(x-7)}{x^2}[/tex]

[tex]ln(4x)+ln(x-7)-ln(x^2)[/tex]

[tex]ln(4x)+ln(x-7)-2ln(x)[/tex]

[tex]ln(4)+ln(x)+ln(x-7)-2ln(x)[/tex]

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