document.write( "Question 919449: solve for x: log(x + 9) = 1 - log(x - 8)
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Algebra.Com's Answer #557754 by lwsshak3(11628) $\"\"$ $\"About$

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solve for x: log(x + 9) = 1 - log(x - 8)
\n" ); document.write( "log(x+9)=1-log(x-8)
\n" ); document.write( "log(x+9)+log(x-8)=1
\n" ); document.write( "log((x+9)(x-8))=1
\n" ); document.write( "(x+9)(x-8)=10 (base(10) raised to log of number(1)=number(x+9)(x-8))
\n" ); document.write( "x^2+x-72=10
\n" ); document.write( "x^2+x-82=0
\n" ); document.write( "solve for x by 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( "a=1, b=1, c=-82
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+1-4%2A1%2A-82+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+1%2B328%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+329%29%29%2F%282%29+\"$
\n" ); document.write( "x=(√(329)-1)/2≈8.56 (Ignore negative root) \n" ); document.write( "

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