Oh, yes... I see the problem:

   13 :' 8 + (2^y) - 2^2^y'
8 + (2 ^ ]) - 2 ^ 2 ^ ]
   13 :' 8 + (2^y) - 2^2^y' d.1
|domain error

Instead, use:
  8: + 2&^  + (2&^)@(2&^)

Thanks,

-- 
Raul



On Sun, Jan 28, 2018 at 5:52 PM, Skip Cave <[email protected]> wrote:
> Raul,
>
> You had it right in the first place.
>
> 0 = 8 + (2^x) - 2^2^x    NB. Is correct, and the answer is real
>
> The answer is close to 1.75379
>
> I wanted to know how to construct the Newton Raphson method using the
> iteration verb N described in the link: http://code.jsoftware.
> com/wiki/NYCJUG/2010-11-09
> under "A Sampling of Solvers - Newton's Method"
>
> N=: 1 : '- u % u d. 1'
>
> Skip
>
>
>
>
>
> Skip Cave
> Cave Consulting LLC
>
> On Sun, Jan 28, 2018 at 4:38 PM, Raul Miller <[email protected]> wrote:
>
>> Eh... I *think* you meant what would be expressed in J as:
>>
>> 0 = 8 + (2^x) - 2^2^x
>>
>> I'd probably try maybe a few hundred rounds of newton's method first,
>> and see where that leads.
>>
>> But there's an ambiguity where the original expression (depending on
>> the frame of reference of the poster) could have been intended to be:
>>
>> 0 = 8 + (2^x) + _2^2^x
>>
>> [if that is solvable, x might have to be complex]
>>
>> Thanks,
>>
>> --
>> Raul
>>
>> On Sun, Jan 28, 2018 at 5:25 PM, Skip Cave <[email protected]>
>> wrote:
>> > What is the best iterative way to solve this equation:
>> >
>> > (-2^2^x) + (2^x) +8 =0
>> >
>> >
>> > Skip Cave
>> > Cave Consulting LLC
>> > ----------------------------------------------------------------------
>> > For information about J forums see http://www.jsoftware.com/forums.htm
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
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