document.write( "Question 605068: how do you solve:\r
\n" ); document.write( "\n" ); document.write( "log base 3 (x+4)+log base 3 (x-2)=3 \n" ); document.write( "

Algebra.Com's Answer #381556 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
log base 3 (x+4)+log base 3 (x-2) = 3
\n" ); document.write( "Combine the logs
\n" ); document.write( " $\"log3%28%28x%2B4%29%2A%28x-2%29%29+=+3\"$
\n" ); document.write( "FOIL
\n" ); document.write( " $\"log3%28x%5E2%2B2x-8%29+=+3\"$
\n" ); document.write( "the exponent equiv of logs
\n" ); document.write( " $\"x%5E2+%2B+2x+-+8+=+3%5E3\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E2+%2B+2x+-+8+=+27\"$
\n" ); document.write( ";
\n" ); document.write( " $\"x%5E2+%2B+2x+-+8+-+27+=+0\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x%5E2+%2B+2x+-+35+=+0\"$
\n" ); document.write( "Factors to
\n" ); document.write( "(x+7)(x-5) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -7
\n" ); document.write( "x = 5, since we are dealing with logs, only the positive solution is valid \n" ); document.write( "

\n" );