document.write( "Question 437888: solve for x\r
\n" ); document.write( "\n" ); document.write( "log(base4)(x^2-3x) = 1 \n" ); document.write( "

Algebra.Com's Answer #302908 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Get logs on both sides.
\n" ); document.write( "First, express $\"1\"$ as a log to the base $\"4\"$
\n" ); document.write( " $\"+1+=+log%284%2C4%29+\"$
\n" ); document.write( "Rewrite the equation:
\n" ); document.write( " $\"+log%284%2C%28x%5E2+-+3x%29%29+=+log%284%2C4%29+\"$
\n" ); document.write( " $\"+x%5E2+-+3x+=+4+\"$
\n" ); document.write( " $\"+x%5E2+-+3x+-+4+=+0+\"$
\n" ); document.write( " $\"+%28x-4%29%2A%28x%2B1%29+=+0+\"$
\n" ); document.write( " $\"+x+=+4+\"$
\n" ); document.write( " $\"+x+=+-1+\"$
\n" ); document.write( "--------------
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+log%284%2C%28x%5E2+-+3x%29%29+=+log%284%2C4%29+\"$
\n" ); document.write( " $\"+log%284%2C%284%5E2+-+3%2A4%29%29+=+log%284%2C4%29+\"$
\n" ); document.write( " $\"+log%284%2C4%29+=+log%284%2C4%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+log%284%2C%28%28-1%29%5E2+-+3%2A%28-1%29%29%29+=+log%284%2C4%29+\"$
\n" ); document.write( " $\"+log%284%2C+%281%2B3%29%29+=+log%284%2C4%29+\"$
\n" ); document.write( " $\"+log%284%2C4%29+=+log%284%2C4%29+\"$
\n" ); document.write( " \n" ); document.write( "

\n" );