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Education > Math Undergrad > Re: How to solv...
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Re: How to solve:

by Narcoleptic Insomniac <i_have_narcoleptic_insomnia@[EMAIL PROTECTED] > Apr 13, 2008 at 01:35 AM

On Apr 12, 2008 11:14 PM CT, dd ss wrote:

> Is it possible to solve either of these problems
> without using a graphing calculator or computer?
> 
> 
> 1. (X + 2)^X = 7   
> 
> 2. 3^X^X^X   =  11

I suppose it all depend on what you mean by "solve"...

Equations of this form do not usually possess "nice"
solutions (i.e. solutions expressed in terms of usual 
elementary functions).  One common way to solve equations
of this for is via the Lambert W-function:

http://en.wikipedia.org/wiki/Lambert_w_function

http://mathworld.wolfram.com/LambertW-Function.html

Regards,
Kyle Czarnecki
 




 4 Posts in Topic:
How to solve:
doghasnose@[EMAIL PROTECT  2008-04-13 00:14:23 
Re: How to solve:
Narcoleptic Insomniac <  2008-04-13 01:35:24 
Re: How to solve:
David W. Cantrell <DWC  2008-04-13 12:25:22 
Re: How to solve:
Stan Brown <the_stan_b  2008-04-13 02:20:27 

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tan12V112 Sat Oct 11 22:39:34 CDT 2008.