# How do you expand #ln((6x) / sqrt(x^2 – 4))#?

##### 1 Answer

May 28, 2016

#### Explanation:

Let's start with the original:

The first we can do to expand this is to have ln of the numerator - ln of the denominator:

I'm going to rewrite the square root into an exponent:

I can now move the 1/2 to in front of the ln:

I can also factor the

which lends itself to:

and I almost forgot that I can do the same to the 6x: