The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: ln(x^x)
Replies: 22   Last Post: May 10, 2000 5:27 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Jonathan Hoyle

Posts: 398
Registered: 12/10/04
Re: ln(x^x)
Posted: May 9, 2000 4:31 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

>> Alright. For the purposes of Calc I, they're the same.

Moving into the complex plane, the better question is to ask when does
ln(z^z) = zln(z)? Obviously it holds for all positive reals, and it's
easy enough to find a counterexample: z = -2:

= ln((-2)^(-2))
= ln(1/((-2)^2))
= ln(1/4)
= -ln(4)

= -2*ln(-2)
= -2*(ln(2) + ipi)
= -2*ln(2) - 2ipi
= -ln(4) - 2ipi

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.