document.write( "Question 267189: Find x.\r
\n" ); document.write( "\n" ); document.write( " $\"log3+%28x+%2B+1%29+%2B+log3+%28x+-+5%29+=+3\"$ \n" ); document.write( "

Algebra.Com's Answer #196276 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log3+%28x+%2B+1%29+%2B+log3+%28x+-+5%29+=+3\"$
\n" ); document.write( "Adding logs is the same as multiply
\n" ); document.write( " $\"log3%28%28x+%2B+1%29%2A%28x+-+5%29%29+=+3\"$
\n" ); document.write( "FOIL
\n" ); document.write( " $\"log3%28x%5E2+-+5x+%2B+x+-+5%29+=+3\"$
\n" ); document.write( ":
\n" ); document.write( " $\"log3%28x%5E2+-+4x+-+5%29+=+3\"$
\n" ); document.write( "The exponent equiv of logs
\n" ); document.write( " $\"x%5E2+-+4x+-+5+=+3%5E3\"$
\n" ); document.write( ":
\n" ); document.write( "x^2 - 4x - 5 = 27
\n" ); document.write( ":
\n" ); document.write( "x^2 - 4x - 5 - 27 = 0
\n" ); document.write( ":
\n" ); document.write( "x^2 - 4x - 32 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-8)(x+4) = 0
\n" ); document.write( "positive solution (cannot have a log of a neg number)
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( "See if this works
\n" ); document.write( " $\"log3+%289%29+%2B+log3+%283%29+=+3\"$
\n" ); document.write( " $\"log3+%2827%29+=+3\"$
\n" ); document.write( "Exponent equiv:
\n" ); document.write( "27 = 3^3 \n" ); document.write( "

\n" );