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_functionhttp://mathworld.wolfram.com/LambertW-Function.html
Regards,
Kyle Czarnecki