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Topic: new tutor here
Replies: 151   Last Post: Jul 17, 2013 4:09 AM

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Robert Hansen

Posts: 8,412
From: Florida
Registered: 6/22/09
Re: new tutor here
Posted: Jun 23, 2013 3:25 PM
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att1.html (0.2 K)
logd.pdf (55.3 K)
att1.html (4.2 K)


On Jun 23, 2013, at 11:04 AM, Joe Niederberger <niederberger@comcast.net> wrote:

> Wrong. The reasoning doesn't pass muster.
> The error itself is kind of interesting, it could be used
> to create all sorts of mischievously incorrect proofs.
>



Maybe this will help...

The original problem is actually based on this equality...

e^x = x^e

We know this is true at x = e, but is that the only point at which it is true? If it is the only point then for all x > e, e^x > x^e and pi > e thus e^pi > pi^e.

We can take the log() of both sides to get...

x = elog(x)

We know this works for x = e, let us now assume that it holds for another point, k*e where k != 1.

ke = elog(ke)
k = log(ke)
k = log(k) + 1

This was what I actually saw at point P.

We know this works for k = 1, but what about for some other value of k, like 1 + d?

1 + d = log(1 + d) + 1
d = log(1 + d)

Remember, at d = 0, they are equal. For d > 0, which increases faster? d or log(1 + d)? If two functions are equal and one function increases faster than the other, can they ever be equal again?

I attached a picture to help.

Bob Hansen



Date Subject Author
6/12/13
Read new tutor here
Michael Mossey
6/12/13
Read Re: new tutor here
Wayne Bishop
6/12/13
Read Re: new tutor here
Michael Mossey
6/13/13
Read Re: new tutor here
Wayne Bishop
6/13/13
Read Re: new tutor here
Dave L. Renfro
6/13/13
Read Re: new tutor here
Joe Niederberger
6/14/13
Read Re: new tutor here
Robert Hansen
6/14/13
Read Re: new tutor here
Joe Niederberger
6/14/13
Read Re: new tutor here
Robert Hansen
6/14/13
Read Re: new tutor here
Joe Niederberger
6/14/13
Read Re: new tutor here
Robert Hansen
6/14/13
Read Re: new tutor here
Joe Niederberger
6/14/13
Read Re: new tutor here
Robert Hansen
6/15/13
Read Re: new tutor here
Louis Talman
6/14/13
Read Re: new tutor here
Michael Mossey
6/15/13
Read Re: new tutor here
Robert Hansen
6/14/13
Read Re: new tutor here
GS Chandy
6/16/13
Read Re: new tutor here
GS Chandy
6/15/13
Read Re: new tutor here
Louis Talman
6/15/13
Read Re: new tutor here
Joe Niederberger
6/16/13
Read Re: new tutor here
Robert Hansen
6/15/13
Read Re: new tutor here
Pam
6/16/13
Read Re: new tutor here
Robert Hansen
6/15/13
Read Re: new tutor here
Pam
6/16/13
Read Re: new tutor here
Wayne Bishop
6/16/13
Read Re: new tutor here
Joe Niederberger
6/16/13
Read Re: new tutor here
Robert Hansen
6/16/13
Read Re: new tutor here
Joe Niederberger
6/17/13
Read Re: new tutor here
Robert Hansen
6/16/13
Read Re: new tutor here
Michael Mossey
6/17/13
Read Re: new tutor here
GS Chandy
6/17/13
Read Re: new tutor here
GS Chandy
6/17/13
Read Re: new tutor here
Pam
6/17/13
Read Re: new tutor here
Robert Hansen
6/17/13
Read Re: new tutor here
Pam
6/17/13
Read Re: new tutor here
Robert Hansen
6/17/13
Read Re: new tutor here
Pam
6/17/13
Read Re: new tutor here
Pam
6/17/13
Read Re: new tutor here
Joe Niederberger
6/17/13
Read Re: new tutor here
Robert Hansen
6/17/13
Read Re: new tutor here
Joe Niederberger
6/17/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Robert Hansen
6/17/13
Read Re: new tutor here
GS Chandy
6/18/13
Read Re: new tutor here
GS Chandy
6/18/13
Read Re: new tutor here
GS Chandy
6/18/13
Read Re: new tutor here
GS Chandy
6/18/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Robert Hansen
6/18/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Robert Hansen
6/18/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Joe Niederberger
6/18/13
Read Re: new tutor here
Robert Hansen
6/18/13
Read Re: new tutor here
Robert Hansen
6/18/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Robert Hansen
6/21/13
Read Re: new tutor here
Wayne Bishop
6/21/13
Read Re: new tutor here
Wayne Bishop
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Robert Hansen
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Joe Niederberger
6/19/13
Read Re: new tutor here
Robert Hansen
6/21/13
Read Re: new tutor here
Joe Niederberger
6/21/13
Read Re: new tutor here
Robert Hansen
6/21/13
Read Re: new tutor here
Joe Niederberger
6/21/13
Read Re: new tutor here
Robert Hansen
6/21/13
Read Re: new tutor here
Joe Niederberger
6/21/13
Read Re: new tutor here
Robert Hansen
6/21/13
Read Re: new tutor here
Joe Niederberger
6/21/13
Read Re: new tutor here
Joe Niederberger
6/21/13
Read Re: new tutor here
Dave L. Renfro
6/22/13
Read Re: new tutor here
Robert Hansen
6/22/13
Read Re: new tutor here
Robert Hansen
6/22/13
Read Re: new tutor here
Joe Niederberger
6/22/13
Read Re: new tutor here
Robert Hansen
6/22/13
Read Re: new tutor here
Robert Hansen
6/23/13
Read Re: new tutor here
Joe Niederberger
6/23/13
Read Re: new tutor here
Robert Hansen
6/23/13
Read Re: new tutor here
Robert Hansen
6/23/13
Read Re: new tutor here
Joe Niederberger
6/23/13
Read Re: new tutor here
Robert Hansen
6/24/13
Read Re: new tutor here
Robert Hansen
6/24/13
Read Re: new tutor here
Joe Niederberger
6/24/13
Read Re: new tutor here
Joe Niederberger
6/24/13
Read Re: new tutor here
Joe Niederberger
6/25/13
Read Re: new tutor here
GS Chandy
7/10/13
Read Re: new tutor here
Dave L. Renfro
7/10/13
Read Re: new tutor here
Robert Hansen
7/10/13
Read Re: new tutor here
Joe Niederberger
7/10/13
Read Re: new tutor here
Robert Hansen
7/10/13
Read Re: new tutor here
Robert Hansen
7/10/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Joe Niederberger
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Joe Niederberger
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
GS Chandy
7/11/13
Read Re: new tutor here
Joe Niederberger
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Louis Talman
7/11/13
Read Re: new tutor here
Robert Hansen
7/12/13
Read Re: new tutor here
Wayne Bishop
7/12/13
Read Re: new tutor here
Louis Talman
7/12/13
Read Re: new tutor here
Wayne Bishop
7/12/13
Read Re: new tutor here
Robert Hansen
7/12/13
Read Re: new tutor here
Gary Tupper
7/12/13
Read Re: new tutor here
Wayne Bishop
7/12/13
Read Re: new tutor here
Louis Talman
7/11/13
Read Re: new tutor here
Joe Niederberger
7/11/13
Read Re: new tutor here
Robert Hansen
7/11/13
Read Re: new tutor here
Joe Niederberger
7/11/13
Read Re: new tutor here
GS Chandy
7/12/13
Read Re: new tutor here
Wayne Bishop
7/12/13
Read Re: new tutor here
Joe Niederberger
7/12/13
Read Re: new tutor here
Wayne Bishop
7/12/13
Read Re: new tutor here
GS Chandy
7/12/13
Read Re: new tutor here
Joe Niederberger
7/13/13
Read Re: new tutor here
Robert Hansen
7/13/13
Read Re: new tutor here
GS Chandy
7/13/13
Read Re: new tutor here
Joe Niederberger
7/13/13
Read Re: new tutor here
Wayne Bishop
7/13/13
Read Re: new tutor here
Robert Hansen
7/13/13
Read Re: new tutor here
Robert Hansen
7/13/13
Read Re: new tutor here
Peter Duveen
7/14/13
Read Re: new tutor here
Joe Niederberger
7/14/13
Read Re: new tutor here
Joe Niederberger
7/14/13
Read Re: new tutor here
Joe Niederberger
7/14/13
Read Re: new tutor here
Robert Hansen
7/14/13
Read Re: new tutor here
GS Chandy
7/15/13
Read Re: new tutor here
Wayne Bishop
7/15/13
Read Re: new tutor here
Joe Niederberger
7/15/13
Read Re: new tutor here
Robert Hansen
7/15/13
Read Re: new tutor here
Peter Duveen
7/15/13
Read Re: new tutor here
Joe Niederberger
7/16/13
Read Re: new tutor here
GS Chandy
7/16/13
Read Re: new tutor here
Wayne Bishop
7/16/13
Read Re: new tutor here
GS Chandy
7/17/13
Read Re: new tutor here
GS Chandy

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