# Simplify #ln(x/(x-1))+ ln((x+1)/x)-ln(x^2-1)# ?

##### 2 Answers

#### Explanation:

Using the logarithmic properties

we have

Given:

Addition of logarithms is the same as multiplication of their arguments:

Simplify a bit:

Subtractions of logarithms is the same as division of their arguments:

Factor the quadratic:

Cancel the common factor

Write the denominator as a square:

Because

Use the property