Question

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)

Answer 1

`ln(x^3)/((x-1)^2)`

Explanation:

We have given expression
`3lnx-2ln(x-1)`

According to logarithmic property
`3lnx-2ln(x-1)=lnx^3-ln(x-1)^2`

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

So
`lnx^3-ln(x-1)^2=ln(x^3)/((x-1)^2)`

So by using logarithmic property and after solving answer will be
`ln(x^3)/((x-1)^2)`