drumstick7708 drumstick7708
  • 14-01-2020
  • Mathematics
contestada

In Exercise, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.
3 In x - 2 In(x - 1)

Respuesta :

aristeus aristeus
  • 15-01-2020

Answer:

[tex]ln\frac{x^3}{(x-1)^2}[/tex]

Step-by-step explanation:

We have given expression [tex]3lnx-2ln(x-1)[/tex]

According to logarithmic property [tex]3lnx-2ln(x-1)=lnx^3-ln(x-1)^2[/tex]

Now again using logarithmic property when two log function are subtracted with each other then their functions are divide by each other

So [tex]lnx^3-ln(x-1)^2=ln\frac{x^3}{(x-1)^2}[/tex]

So by using logarithmic property and after solving answer will be [tex]ln\frac{x^3}{(x-1)^2}[/tex]

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