My goal is to have a student convert an exponential equation into a logarithm. (The other way around is not as difficult.)
For instance, something like
(x-2)^3=z becomes log_(x-2)(z)=3.
I am avoiding needing to look for answer mirroring by requiring a particular order to the answer. I am not currently using multianswer, though I am not against doing so.
My main problem is in getting the students to be able to input log_(x-2) in and have Webwork recognize it. (I realize that there is probably something similar on the discussion board somewhere but I have not been able to find it).
Here is what my code currently is. It is not randomized (I am fitting it to some static questions at the moment).
DOCUMENT(); # This should be the first executable line in the problem.
loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"answerHints.pl",
"PGML.pl",
"PGcourse.pl",
);
TEXT(beginproblem());
######################################
# Setup
Context("Numeric");
Context()->variables->add(z=>"Real");
$base = Formula("x-2");
$power = 3;
$equals = Formula("z");
######################################
# Main text
BEGIN_PGML
Convert the equation into a logarithmic equation.
[`` ([$base])^[$power] = [$equals] ``]
The logarithmic equation is : [__________] = [_________]. (You must write the logarithmic terms on the left.)
END_PGML
######################################
# Answer
$ans1 =Formula("log_($base)($equals)");
$ans2 = Formula("$power");
ANS($ans1->cmp());
ANS($ans2->cmp());
$showPartialCorrectAnswers = 1;
#####################################
;
ENDDOCUMENT();