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**Andriy****Guest**

How would you simplify this problem:

Simplify **ln(z^4 + z^2)**

Thanks

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,631

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

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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

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..."

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**Andriy****Guest**

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!

**jenni****Guest**

HOw about this one please help.

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

**jenni****Guest**

i got it already thanks hihi

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