document.write( "Question 528335: log6(x+9)log6 x=2 check for extraneous solutions \n" ); document.write( "
Algebra.Com's Answer #349590 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve for x
\n" ); document.write( "log6(x+9)log6 x=2 check for extraneous solutions
\n" ); document.write( "Assume given equation should be written as follows:
\n" ); document.write( "log6(x+9)+log6(x)=2
\n" ); document.write( "log6[(x+9)(x)]=2
\n" ); document.write( "log6(x^2+9x)=2
\n" ); document.write( "6^2=x^2+9x=36
\n" ); document.write( "x^2+9x-36=0
\n" ); document.write( "(x+12)(x-3)=0
\n" ); document.write( "x=-12 (reject, (x+9)>0)
\n" ); document.write( "or
\n" ); document.write( "x=3 \n" ); document.write( "
\n" );