document.write( "Question 948309: log9(x^2 -4x)=log9(3x-10) \n" ); document.write( "

Algebra.Com's Answer #578808 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-4x=3x-10\"$
\n" ); document.write( " $\"x%5E2-7x%2B10=0\"$
\n" ); document.write( " $\"%28x-2%29%28x-5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-2=0\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x-5=0\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "Verify the solution.
\n" ); document.write( " $\"log%289%2C%282%5E2-4%282%29%29%29=log%289%2C%283%282%29-10%29%29%29\"$
\n" ); document.write( " $\"log%289%2C%284-8%29%29=log%289%2C%286-10%29%29\"$
\n" ); document.write( " $\"log%289%2C%28-4%29%29=log%289%2C%28-4%29%29\"$
\n" ); document.write( "This solutions leads to a negative argument which is not
\n" ); document.write( "allowed. Not a good solution.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"log%289%2C%285%5E2-4%285%29%29%29=log%283%285%29-10%29%29\"$
\n" ); document.write( " $\"log%289%2C%2825-20%29%29=log%289%2C%2815-10%29%29\"$
\n" ); document.write( " $\"log%289%2C%285%29%29=log%289%2C%285%29%29\"$
\n" ); document.write( "True, good solution.
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( " \n" ); document.write( "

\n" );