document.write( "Question 132646: Solve: logbase4(3x^2-2x)=logbase6 36 I think the answer is {8/3}???? \n" ); document.write( "

Algebra.Com's Answer #96965 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%284%2C%283x%5E2+-+2x%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C%283x%5E2+-+2x%29%29+=+log%286%2C6%5E2%29\"$
\n" ); document.write( "The right side = $\"2\"$
\n" ); document.write( " $\"log%284%2C%283x%5E2+-+2x%29%29+=+2\"$
\n" ); document.write( "This says \"The exponent to the base 4 which gives me $\"3x%5E2+-+2x\"$
\n" ); document.write( "is 2, so
\n" ); document.write( " $\"4%5E2+=+3x%5E2+-+2x\"$
\n" ); document.write( " $\"3x%5E2+-+2x+-+16+=+0\"$
\n" ); document.write( "Solve using quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%28-16%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B-+sqrt%284+%2B+192+%29%29%2F+6+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B-+14%29%2F+6+\"$
\n" ); document.write( " $\"x+=+8%2F3\"$
\n" ); document.write( " $\"x+=+-2\"$
\n" ); document.write( "check answers:
\n" ); document.write( " $\"log%284%2C%283x%5E2+-+2x%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C3%2A%288%2F3%29%5E2+-+2%2A%288%2F3%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C+%2864%2F3+-+16%2F3%29%29+=+2\"$
\n" ); document.write( " $\"log%284%2C+16%29+=+2\"$
\n" ); document.write( "True
\n" ); document.write( " $\"log%284%2C%283x%5E2+-+2x%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C%283%2A%28-2%29%5E2+-+2%2A%28-2%29%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C%2812+%2B+4%29%29%29+=+log%286%2C36%29\"$
\n" ); document.write( " $\"log%284%2C16%29+=+2\"$
\n" ); document.write( "True \n" ); document.write( "

\n" );