Respuesta :

Hrishii

Answer:

[tex]log\boxed{7}[/tex]

Step-by-step explanation:

  • [tex]log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}[/tex]

  • [tex]=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}[/tex]

  • [tex]=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}[/tex]

  • [tex]=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}[/tex]

  • [tex]=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)[/tex]

  • [tex]=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)[/tex]

  • [tex]=log\bigg(\frac{154}{22}\bigg)[/tex]

  • [tex]=log\boxed{7}[/tex]

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