Return Styles: Pseud0ch, Terminal, Valhalla, NES, Geocities, Blue Moon.

Pages: 1-

e^x+1=x^e+1

Name: Anonymous 2007-02-28 4:40 ID:kK1vOj1B

How many solutions are there to the equation e^x+1=x^e+1(x being the unknown and e being the base of the natural logarithm, a constant)? If you answer this question within 5 seconds, you're good.

Name: Anonymous 2007-02-28 4:52 ID:bAf9dbfl

None. That was easy.

PROTIP: If you think it's necessary to explain what e and x are, you're not qualified to either ask these questions or decide who is and isn't 'good'.

Name: Anonymous 2007-02-28 6:23 ID:kK1vOj1B

Sorry, I got my question wrong. The question should be "How many solutions are there to the equation e^(x+1)=x^(e+1)?"

Name: Anonymous 2007-02-28 6:24 ID:kK1vOj1B

People may think that e stands for an unknown,not the natural constant.

Name: Anonymous 2007-02-28 6:25 ID:smVff99U

e^x+1=x^e+1
e^x=x^e
x=e

Name: Anonymous 2007-02-28 6:27 ID:kK1vOj1B

Correct! You're good.

Name: Anonymous 2007-03-01 2:56 ID:Uz1BNYq+

>>4
Then those people shouldn't be answering these questions. e isn't used as a variable because it is an important constant.

Name: Anonymous 2007-03-01 13:38 ID:U+QAPCdU

>>7
Actually >>1 shouldn't be asking the questions without beforehand stating that e is the natural constant.

Name: FrozenVoid 2007-03-01 13:46 ID:er6tX+Iw

>>8
He did

Name: Anonymous 2007-03-01 23:25 ID:PDx4uH/Y

e^(x+1) = x^(e+1)
x+1 = ln[x^(e+1)]
x+1 = (e+1) ln x
x+1 / ln x = e + 1

let e = x

e + 1 / 1 = e + 1

Name: Anonymous 2007-03-02 4:59 ID:DzjrPBMY

There is 1 solution.

Name: Anonymous 2007-03-02 23:41 ID:4rl7N4gx

Graphing calculator shows two intersections of x+1/ln x and e + 1

Name: Anonymous 2007-03-03 1:29 ID:8jvP6A+R

I get x= 2.7182818284591(e) or x= 4.937792714219(?) from my TI-89.

Don't change these.
Name: Email:
Entire Thread Thread List