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