# How do you condense #4[ln z+ln(z+5)-2ln(z-5)]#?

##### 1 Answer

Jul 2, 2018

#### Explanation:

We have the following:

Recall the logarithm/natural log rule

This allows us to rewrite the blue terms as

We can reference another logarithm/natural log rule:

We can apply this to the purple term. Our coefficient simply becomes our exponent. We now have

We can leverage yet another logarithm/natural log rule:

If we have the same base and we're subtracting, we can turn this into division. We now have

Hope this helps!