document.write( "Question 80455This question is from textbook algebra for college students
\n" ); document.write( ": Solve the equation: log x + log (x + 48) = 2
\n" ); document.write( "I know the answer is 2 from the answers in the back of the book.
\n" ); document.write( "I need to know how the solution was solved.
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Algebra.Com's Answer #57805 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation: log x + log (x + 48) = 2
\n" ); document.write( ":
\n" ); document.write( "Adding logs is the same as multiplying, so you can write it:
\n" ); document.write( "log(x*(x+48)) = 2
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\n" ); document.write( "Which is:
\n" ); document.write( "log (x^2 + 48x) = 2
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\n" ); document.write( "Find the anti-log of both sides, (anti-log of 2 is 100)
\n" ); document.write( "x^2 + 48x = 100
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\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + 48x - 100 = 0
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\n" ); document.write( "factors to:
\n" ); document.write( "(x+50)(x-2) = 0
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\n" ); document.write( "x = -50 and x = +2
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\n" ); document.write( "You can't find the log of negative number, so only x=2 is a solution
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\n" ); document.write( "Check solution on a good calc: log(2) + log(50) = 2
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\n" ); document.write( "did this help? \n" ); document.write( "
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