document.write( "Question 313667: solve the equation log(5x-1) + log(x+2)=1 \n" ); document.write( "

Algebra.Com's Answer #224270 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%2810%2C%285x-1%29%29+%2B+log%2810%2C%28x%2B2%29%29=1\"$
\n" ); document.write( " $\"log%2810%2C%285x-1%29%28x%2B2%29%29=1\"$
\n" ); document.write( " $\"%285x-1%29%28x%2B2%29=10\"$
\n" ); document.write( " $\"5x%5E2%2B9x-2=10\"$
\n" ); document.write( " $\"5x%5E2%2B9x-12=0\"$
\n" ); document.write( "Use the 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( " $\"x+=+%28-9+%2B-+sqrt%28+%28-9%29%5E2-4%2A5%2A%28-12%29+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( " $\"x+=+%28-9+%2B-+sqrt%28+81%2B240%29%29%2F%2810%29+\"$
\n" ); document.write( " $\"x+=+%28-9+%2B-+sqrt%28+321%29%29%2F%2810%29+\"$
\n" ); document.write( "Only the positive solution will be considered since the log function requires non-negative arguments.
\n" ); document.write( " $\"x+=+%28-9+%2B+sqrt%28+321%29%29%2F%2810%29+\"$ or approximately,
\n" ); document.write( " $\"highlight%28x=+0.8916%29\"$ \n" ); document.write( "

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