problems using solve with functions



Hello,

I am using maxima as a common-lisp library for a pet-project of mine.
However I stumbled upon a problem when using solve.

I try to solve an equation or a set of equation and I do introduce known 
variables by
adding an appropriate equation to the set. Eg:

      solve([1=a*x,a=1],[a,x]);
-> [[a = 1, x = 1]]

Which works fine! If the equation however contains functions like exp, 
log, or sin solve won't find any solutions:

solve([1=a*sin(x),a=1],[a,x]);
->                            []
solve([1=a*log(x),a=1],[a,x]);
->                            []
(%i125) solve([1=a*exp(x),a=1],[a,x]);
->                            []

Obviously the solutions to those problems are not as obvious as they 
seem. Could someone clarify this behaviour? What's the correct way to 
solve such problems with maxima?

Thanks

Norman