document.write( "Question 105931: $\"logx%5E2%2Blogy-3logx-logy%5E2\"$ . as single logarithm \n" ); document.write( "

Algebra.Com's Answer #77167 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"logx%5E2%2Blogy-3logx-logy%5E2\"$
\n" ); document.write( ":
\n" ); document.write( "Adding logs means multiply so can have:
\n" ); document.write( " $\"log%28%28x%5E2y%29%29+-+3log%28%28x%29%29+-+log%28%28y%5E2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "The exponent equiv of 3*log
\n" ); document.write( " $\"log%28%28x%5E2y%29%29+-+log%28%28x%5E3%29%29+-+log%28%28y%5E2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "We have to combine the minus logs like this:
\n" ); document.write( " $\"log%28%28x%5E2y%29%29+-+log%28%28x%5E3y%5E2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Subtract means divide
\n" ); document.write( " $\"log%28%28x%5E2y%2Fx%5E3y%5E2%29%29\"$ = $\"log%28%281%2Fxy%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Did this help? \n" ); document.write( "

\n" );