document.write( "Question 136175: log6 (x+1)+log6(x)=1 \n" ); document.write( "

Algebra.Com's Answer #99807 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%286%2C%28x%2B1%29%29%2Blog%286%2C%28x%29%29=1\"$
\n" ); document.write( " $\"log%286%2C%28x%28x%2B1%29%29%29=1\"$
\n" ); document.write( " $\"6%5E%281%29=x%28x%2B1%29\"$
\n" ); document.write( " $\"x%5E2%2Bx=6\"$
\n" ); document.write( " $\"x%5E2%2Bx-6=0\"$
\n" ); document.write( " $\"%28x%2B3%29%28x-2%29=0\"$
\n" ); document.write( " $\"x=2\"$ and $\"x=-3\"$ .
\n" ); document.write( "Check your answers.
\n" ); document.write( " $\"log%286%2C%28x%28x%2B1%29%29%29=1\"$
\n" ); document.write( " $\"log%286%2C%28-3%28-2%29%29%29=1\"$
\n" ); document.write( " $\"log%286%2C6%29=1\"$
\n" ); document.write( "True statement, but only for the converted equation.
\n" ); document.write( "In your original equation,
\n" ); document.write( " $\"log%286%2C%28x%2B1%29%29%2Blog%286%2C%28x%29%29=1\"$
\n" ); document.write( " $\"log%286%2C%28-2%29%29%2Blog%286%2C%28-3%29%29=1\"$
\n" ); document.write( "The solution x=-3 is not allowed, since the logarithm function must have positive arguments.
\n" ); document.write( " $\"log%286%2C%282%2B1%29%29%2Blog%286%2C%282%29%29=1\"$
\n" ); document.write( " $\"log%286%2C%283%29%29%2Blog%286%2C%282%29%29=1\"$
\n" ); document.write( " $\"log%2810%2C3%29%2Flog%2810%2C6%29%2Blog%2810%2C2%29%2Flog%2810%2C6%29=1\"$
\n" ); document.write( " $\"0.613147%2B0.386853=1\"$
\n" ); document.write( " $\"1=1\"$
\n" ); document.write( "True statement.
\n" ); document.write( "Good answer.
\n" ); document.write( "x=2. \n" ); document.write( "

\n" );