View of /trunk/NationalProblemLibrary/NAU/setExpLog/ExpEq3.pg

    1 ##DESCRIPTION
    2 ## DBsubject('Algebra')
    3 ## DBchapter('Exponential and Logarithmic Functions')
    4 ## DBsection('Exponential and Logarithmic Equations')
    5 ## KEYWORDS()
    6 ## Author('Katie Louchart')
    7 ## Institution('NAU')
    8 ##ENDDESCRIPTION
    9 
   10 # File Created: 8/9/05
   11 # Location: Northern Arizona University
   12 # Course: Prcalculus
   13 
   14 DOCUMENT();        # This should be the first executable line in the problem.
   15 loadMacros("PG.pl",
   16 "PGbasicmacros.pl",
   17 "PGchoicemacros.pl",
   18 "PGanswermacros.pl",
   19 "PGauxiliaryFunctions.pl",
   20 "PGasu.pl",
   21 "extraAnswerEvaluators.pl"
   22 );
   23 
   24 TEXT(&beginproblem);
   25 
   26 $showPartialCorrectAnswers = 1;
   27 
   28 $n=random(2,5,1);
   29 
   30 do {
   31 $d=random(2,5,1);
   32 $divisor=gcd($n, $d);
   33 } until ($divisor==1);
   34 
   35 $e=random(2,4,1);
   36 
   37 $N=($n)**($e);
   38 $D=($d)**($e);
   39 
   40 $ans1=$e;
   41 $ans2=-$e;
   42 
   43 BEGIN_TEXT
   44 Solve the given equations for \( x \).
   45 
   46 $PAR
   47 \( (\frac{$n}{$d})^x = \frac{$N}{$D} \)
   48 $BR
   49 \( x = \) \{ans_rule(20) \}
   50 $PAR
   51 $PAR
   52 \( (\frac{$n}{$d})^x = \frac{$D}{$N} \)
   53 $BR
   54 \( x = \) \{ans_rule(20) \}
   55 
   56 END_TEXT
   57 
   58 &ANS(std_num_cmp($ans1));
   59 &ANS(std_num_cmp($ans2));
   60 
   61 ENDDOCUMENT();