# How do you condense #2(3lnx-ln(x+1)-ln(x-1))#?

##### 2 Answers

#### Answer:

Depends how far you want to take things but as a single logarithm it becomes

#### Explanation:

Multiples of logarithms become powers:

Subtracting logarithms is equivalent to dividing their arguments:

Now divide again:

Tidy this up to give:

You can apply the power law again:

#### Answer:

#### Explanation:

Expression

Here we will use three properties of logarithms:

(i):

(ii):

(iii:

First let's rewite the Expression as:

=

Using property (i):

Using properties (ii) and (iii):

Using property (i) again: