1. ## Simplifying.

Hi, I was wondering if this could simply anymore? Thanks in advance!

2e^(2x)[ln(6x^2)] + 2e^(2x)/x - 3/x^4

2. Originally Posted by Affinity
Hi, I was wondering if this could simply anymore? Thanks in advance!

2e^(2x)[ln(6x^2)] + 2e^(2x)/x - 3/x^4
I don't know if it would be considered "simplifying" (it depends on what you want to do with the expression when you are done); in some ways this makes it look worse, so it's up to you.

You can expand the ln term:
$ln(6x^2) = ln(6) + ln(x^2) = ln(6) + 2ln(x)$

You can also factor the common $2e^{2x}$ from the first two terms.

-Dan

3. I would just like to mention that,
$\ln x^2=2\ln |x|$