When is Exp[z]==Exp[w]??

*To*: mathgroup at smc.vnet.net*Subject*: [mg113621] When is Exp[z]==Exp[w]??*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Fri, 5 Nov 2010 05:10:49 -0500 (EST)*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst*Reply-to*: murray at math.umass.edu

Mathematica 7.0.1 gives (as InputForm of the result): Reduce[Exp[z]==Exp[w],{z,w}] Element[C[1], Integers] && E^z != 0 && w == (2*I)*Pi*C[1] + Log[E^z] How can Mathematica be forced to simplify this to what is the fact, namely, the following? Element[C[1], Integers]&& w == (2*I)*Pi*C[1] + z (At the very least, certainly the expression E^z != 0 is redundant.) -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305