document.write( "Question 134410: solve log(7x^2+30x+2) - 2log(x+1) = 1 \n" ); document.write( "

Algebra.Com's Answer #98319 by vleith(2983) $\"\"$ $\"About$

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Given : log(7x^2+30x+2) - 2log(x+1) = 1\r
\n" ); document.write( "\n" ); document.write( "Use the values on both side and raise 10 to that number\r
\n" ); document.write( "\n" ); document.write( " $\"10%5E%28log%287x%5E2%2B30x%2B2%29+-+2log%28x%2B1%29%29+=+10%5E1\"$
\n" ); document.write( " $\"%2810%5E%28log%287x%5E2%2B30x%2B2%29%29%29%2F%2810%5E%282log%28x%2B1%29%29%29+=+10\"$
\n" ); document.write( " $\"%287x%5E2%2B30x%2B2%29%2F%28%28x%2B1%29%5E2%29+=+10\"$
\n" ); document.write( " $\"%287x%5E2%2B30x%2B2%29=+10%28x%2B1%29%5E2\"$
\n" ); document.write( " $\"7x%5E2%2B30x%2B2+=+10x%5E2+%2B+20x+%2B+10\"$
\n" ); document.write( " $\"0+=+3x%5E2+-10x+%2B+8\"$ \r
\n" ); document.write( "\n" ); document.write( "Use the quadratic equation
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Find x = 2, x = 8/6\r
\n" ); document.write( "\n" ); document.write( "Check by subbing back into the original equation and using your calculator
\n" ); document.write( " \n" ); document.write( "

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