document.write( "Question 1072776: Solve the simultaneous equations.
\n" ); document.write( "log base 9 (xy^2) = 1/2
\n" ); document.write( "(log base 3 x) (log base 3 y) = -3
\n" ); document.write( "

Algebra.Com's Answer #687624 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Change-Base formula and rules for logs will give the system\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28log%283%2Cx%29%2B2%2Alog%283%2Cy%29=1%2Clog%283%2Cx%29log%283%2Cy%29=-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For temporary symbolic convenience, you can make substitutions for \"log%283%2Cx%29\" and \"log%283%2Cy%29\" and solve first in your new variables, and then back-substitute to continue.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "\"system%28log%283%2Cy%29=3%2F2%2Cor%2Clog%283%2Cy%29=-1%29\"
\n" ); document.write( ".
\n" ); document.write( "\"system%28y=3%5E%283%2F2%29%2Cor%2Cy=1%2F3%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );