document.write( "Question 965209: Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)\r
\n" ); document.write( "\n" ); document.write( "log(x + 4) = 1 − log(x − 3) \n" ); document.write( "
Algebra.Com's Answer #589961 by rothauserc(4718)\"\" \"About 
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log(x + 4) = 1 − log(x − 3)
\n" ); document.write( "add log(x - 3) to both sides of =
\n" ); document.write( "log(x + 4) + log(x - 3) = 1
\n" ); document.write( "log (x^2 +x -12) = 1
\n" ); document.write( "apply definition of log
\n" ); document.write( "x^2 +x -12 = 10
\n" ); document.write( "x^2 +x -22 = 0
\n" ); document.write( "using quadratic formula
\n" ); document.write( "x = (-1 + sqrt(1 - 4*1*(-22))) / (2*1) = 4.216990566
\n" ); document.write( "x = (-1 - sqrt(1 - 4*1*(-22))) / (2*1) = −5.216990566
\n" ); document.write( "we only want the positive value for x since logarithm is not defined for negative numbers
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\n" ); document.write( "x = 4.216990566
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\n" ); document.write( "check the answer
\n" ); document.write( "log(4.216990566 + 4) = 1 − log(4.216990566 − 3)
\n" ); document.write( "log( 8.216990566 ) = 1 - log( 1.216990566 )
\n" ); document.write( "0.914712788 = 1 - 0.085287212 = 0.914712788
\n" ); document.write( "our answer checks
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