one way

acer — Thu, 15 Nov 2012 19:39:35 Z

eq:=A*x^beta=R-A*beta/(x^(1-beta)*(1-t));

                  beta             A beta       
               A x     = R - -------------------
                              (1 - beta)        
                             x           (1 - t)

map(z->1/((1-t)*z), R-eq);

                                        (1 - beta)
                        1              x          
              ---------------------- = -----------
                      /    beta    \     A beta   
              (1 - t) \-A x     + R/

One minor variation on that is,

map( z->1/z, (R-eq)*(1-t) );

acer

Thanks, ... and I have another one

awehring — Fri, 16 Nov 2012 18:59:41 Z

Thank you, acer. I guess I learned something about map. :-)

But with this one I only found a complicate solution:

lhs((%)) = op(1, op(2, (%)))+ln(-numer(op(2, op(2, (%)))))/(-denom(op(2, op(2, (%))))) assuming R > y

simplify((%), ln) assuming (R-y) > 0, Theta > 0

So, the result is nice, but my first transormation is quite complicated. In addition, I have to put a - at the numerator and the denominator, that it works. Because Maple changes the sign ahead of the fraction, for whatever reason.

I guess, there is an easier way.

MaplePrimes - answers and comments on Question, How to transform equations

one way

Thanks, ... and I have another one