document.write( "Question 46193: Hello. Could you helpe solve this.\r
\n" ); document.write( "\n" ); document.write( "Find the domain of the function\r
\n" ); document.write( "\n" ); document.write( "s(x) = log7 (X^2 + 7X + 10). A little explanation will be appreciated. Thanks.
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Algebra.Com's Answer #30654 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
s(x) = \"log%287%2Cx%5E2%2B7x%2B10%29\"
\n" ); document.write( "s(x) = \"log%287%2C%28x+%2B+5%29%28x+%2B+2%29%29\"
\n" ); document.write( "You can not take a logarithm of a negative number nor zero:
\n" ); document.write( "\"x+%2B+5+%3E+0\"
\n" ); document.write( "\"x+%3E+-5\" check: \"log%287%2C%28x+%2B+5%29%28x+%2B+2%29%29\" = \"log%287%2C%28-4+%2B+5%29%28-4+%2B+2%29%29\" = \"log%287%2C%281%29%28-2%29%29\" Nope
\n" ); document.write( "\"x+%2B+5+%3C+0\"
\n" ); document.write( "\"x+%3C+5\" check: \"log%287%2C%28x+%2B+5%29%28x+%2B+2%29%29\" = \"log%287%2C%28-6+%2B+5%29%28-6+%2B+2%29%29\" = \"log%287%2C%28-1%29%28-4%29%29\" = \"log%287%2C%284%29%29\" Correct
\n" ); document.write( "and
\n" ); document.write( "\"x+%2B+2+%3E+0\"
\n" ); document.write( "\"x+%3E+-2\" check: \"log%287%2C%28x+%2B+5%29%28x+%2B+2%29%29\" = \"log%287%2C%281+%2B+5%29%281+%2B+2%29%29\" = \"log%287%2C%286%29%283%29%29\" = \"log%287%2C18%29\" Correct
\n" ); document.write( "Domain: x < -5 and -2 < x
\n" ); document.write( "\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Clog%287%2Cx%5E2%2B7x%2B10%29%29\"
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