Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-01-24 09:23:42

Andriy
Guest

This problem is going to kill me

How would you simplify this problem:

Simplify ln(z^4 + z^2)

Thanks

#2 2006-01-24 10:42:32

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

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

Offline

#3 2006-01-24 12:36:19

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

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..."

Offline

#4 2006-01-24 15:43:46

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 2006-01-26 15:30:21

jenni
Guest

Re: This problem is going to kill me

HOw about this one please  help.

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

#6 2006-01-26 15:34:24

jenni
Guest

Re: This problem is going to kill me

i got it already thanks hihi

Board footer

Powered by FluxBB