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MathGroup Archive 2006

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Re: transcendental equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71395] Re: transcendental equation
  • From: Bill Rowe <readnewsciv at sbcglobal.net>
  • Date: Thu, 16 Nov 2006 00:54:09 -0500 (EST)

On 11/15/06 at 6:45 AM, dimmechan at yahoo.com (dimitris) wrote:

>Why Solve cannot deal with the following  transcendental equation?
>
>Solve[{2^x + 4^y == 9, x == y}, {x, y}]

Because Solve simply isn't designed to address transcendental 
equations efficiently if at all. Simply accept this as a 
limitation of Solve. This particular equation is dealt with 
quite efficiently using FindRoot, i.e.

In[3]:=
FindRoot[2^x + 4^x == 9, {x, 1.5}]

Out[3]=
{x->1.34561}

Given there are tools in Mathematica that can deal with such 
equations, why worry that one particular tool doesn't work well?
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