## [windows2000] Re: OT - Math Question

• From: "Ron Leach" <rleach@xxxxxxxxxxxxxxx>
• To: <windows2000@xxxxxxxxxxxxx>
• Date: Wed, 29 Nov 2006 14:19:33 -0500

```Thanks Mark!!

-----Original Message-----
From: windows2000-bounce@xxxxxxxxxxxxx
[mailto:windows2000-bounce@xxxxxxxxxxxxx] On Behalf Of Mark Lane
Sent: Wednesday, November 29, 2006 2:11 PM
To: windows2000@xxxxxxxxxxxxx
Subject: [windows2000] Re: OT - Math Question

I was a math major in a former life 10+ years.

1/2(e^x + e^-x) = 4
e^x + e^-x = 8
(e^x)^2 + 1 = 8e^x
Let y = e^x such that x = ln(y).
y^2 + 1 = 8y
y^2 - 8y + 1 = 0
Use quadratic formula, which is x = (-b +- sqrt(b^2 - 4ac))/2a, to solve for
y in previous equation.
Then x = ln(y)

-----Original Message-----
From: windows2000-bounce@xxxxxxxxxxxxx
[mailto:windows2000-bounce@xxxxxxxxxxxxx] On Behalf Of Ron Leach
Sent: Wednesday, November 29, 2006 9:24 AM
To: windows2000@xxxxxxxxxxxxx
Subject: [windows2000] Re: OT - Math Question

Only 13 years?!? Try 22 years ;-).

I'm thinking that this might be a start...

1/2(e^x + e^-x) =4

ln (e^x + e^-x)^1/2 = ln 4
ln sqrt (e^x + e^-x) = ln 4

but now where to go...

-----Original Message-----
From: windows2000-bounce@xxxxxxxxxxxxx
[mailto:windows2000-bounce@xxxxxxxxxxxxx] On Behalf Of Costanzo, Ray
Sent: Wednesday, November 29, 2006 9:51 AM
To: windows2000@xxxxxxxxxxxxx
Subject: [windows2000] Re: OT - Math Question

There is not a chance in hell I could ever do this.  It's depressing.
Take me back to high school and I think I could do it.  Now, 13 years
later, I don't have a clue where to begin.  I briefly discussed it with
my brother who said:

<quote>
I don't have time to look at it right now, but my first thought would be
to use the natural log function to pull x out of the exponent.

Example:

e^x = 4

ln(e^x) = ln(4)

x(ln(e)) = ln(4)

x = ln(4)

Your equation may not be so easy, because you'll have ln(e^x + e^-x), so
you can't just move the x out of the exponent.
</quote>

Ray at work

-----Original Message-----
From:  Ron Leach

It's been a long while in doing the math problems, so please pardon the
OT.

I was wondering if anyone would be able to help with the following math
problem (a little break from the normal stuff :-))

1/2(e^x + e^-x) = 4, solve for x.

Thanks!

Ron

PS  Maybe Jim has a math list? ;-)
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