Good day,
I'm not sure what you are talking about, both exp() and log() are
one-to-one (bijective) functions.
So,
A = B
if and only if (assuming A,B>0)
log(A) = log(B)
and
A = B
if and only if
exp(A) = exp(B).
Of course, assuming real numbers (that's what I do here). So, I wasn't
expecting anything *unsafe* from Maxima.
Even so, I would expect even the most stupid computer algebra system to
simplify
A* sin^2 (x) + A * cos^2(x)
to
A
otherwise, it might as well not exist.
I did put "Newbie" in the subject line to indicate that I didn't
necessarily know the software very well. So I'm not saying Maxima is
useless, I'm just saying that it appears to be useless right now to me.
> You say,
> Again, it would seem like Maxima fails miserably... and I'm not even
> taking a very difficult case!
>
> Why not try some function f(x)= stuff,
> where f is sin, cos, linear, quadratic, cubic, quartic.
>
> instead of f(x)=g(x) where neither f nor g
> has a single-valued inverse.
--
Daniel Lemire, Ph.D.
http://www.ondelette.com/