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## #1 2006-01-25 08:23:42

Andriy
Guest

### This problem is going to kill me

How would you simplify this problem:

Simplify ln(z^4 + z^2)

Thanks

## #2 2006-01-25 09:42:32

MathsIsFun

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### Re: This problem is going to kill me

ln(z^4+z^2) = ln(z^2(z^2+1)) = ln(z^2) + ln(z^2+1) = 2 ln(z)  + ln(z^2+1)

I am not sure if that is simpler, but it is different ...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #3 2006-01-25 11:36:19

Ricky
Moderator

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### Re: This problem is going to kill me

I would say a lower order is simpler.  But then again, simple is all in context.  A more complex statement is simpler if it allows you to simplify a larger statement that it's in.

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

## #4 2006-01-25 14:43:46

Andriy
Guest

### Re: This problem is going to kill me

Thank you sooo much!!! It worked. I had an online assignment for my Calc class, and it was the problem that I got stuck on. You saved me!

## #5 2006-01-27 14:30:21

jenni
Guest

### Re: This problem is going to kill me

Simplify ln((u^2 v^3 /w^5)^2).

## #6 2006-01-27 14:34:24

jenni
Guest

### Re: This problem is going to kill me

i got it already thanks hihi