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Solving equations involving Ln function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg19851] Solving equations involving Ln function
*From*: Satyajit Bose <sgb2 at columbia.edu>
*Date*: Sun, 19 Sep 1999 01:20:35 -0400
*Organization*: Columbia University
*Sender*: owner-wri-mathgroup at wolfram.com
Hello,
I am trying to solve some equations involving the natural log function.
Mathematica 3.0 will not let me solve them since the relations are
non-algebraic. Is there any way to restrict the domain to positive reals
or get Mathematica to use the exponential as an inverse, so that I can
get a solution. I know that this can be done in another system, presumably
because it is less careful about atypical domain restrictions. Here is
my input line and results in the kernel:
In[1]:=
Solve[Log[x]+delta*v==Log[(1-delta)*x/(1-delta^2)]+delta*Log[(1-delta)*d
elta*x/(1-delta^2)]+delta^2*v,x]
Solve::tdep: The equations appear to involve transcendental functions of
the
variables in an essentially non-algebraic way.
Out[1]= Solve[delta v + Log[x] ==
2 (1 - delta) x (1 - delta) delta x
> delta v + Log[-------------] + delta Log[-------------------], x]
2 2
1 - delta 1 - delta
I am hoping to get a solution that looks like this:
x -> exp[v*(1-delta)]*(1+delta)^(1+1/delta)/delta)
Thank you for all your help.
Sayajit Bose
--
Satyajit Bose
Department of Economics New York, NY 10027
Columbia University (212) 665-8208
http://www.columbia.edu/~sgb2 sgb2 at columbia.edu
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