document.write( "Question 690406: Log(base 9)(x-6)+log (base 9)(x-6)=1 \n" ); document.write( "
Algebra.Com's Answer #426298 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Log(base 9)(x-6)+log (base 9)(x-6)=1
\n" ); document.write( "log9[(x-6)(x-6)]=log9(9)
\n" ); document.write( "x^2-12x+36=9
\n" ); document.write( "x^2-12x+25=0
\n" ); document.write( "solve for x by completing the square
\n" ); document.write( "x^2-12x+25=0
\n" ); document.write( "(x^2-12x+36)=-25+36
\n" ); document.write( "(x-6)^2=11
\n" ); document.write( "x-6=±√11
\n" ); document.write( "x=6±√11
\n" ); document.write( "x=6±3.317
\n" ); document.write( "x≈2.683(reject, (x-6)>0)
\n" ); document.write( "or
\n" ); document.write( "x≈9.317\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );