document.write( "Question 951174: find x
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\n" ); document.write( "log (x+5)=log 4 - log (x+2) \n" ); document.write( "

Algebra.Com's Answer #580826 by stanbon(75887) $\"\"$ $\"About$

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log (x+5)=log 4 - log (x+2)
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\n" ); document.write( "log(x+5) + log(x+2) = log(4)
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\n" ); document.write( "log[(x+5)(x+2)] = log(4)
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\n" ); document.write( "x^2 + 7x + 10 = 4
\n" ); document.write( "x^2 + 7x + 6 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x+6)(x+1) = 0
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\n" ); document.write( "Acceptable solution::
\n" ); document.write( "x = -1
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\n" ); document.write( "Note:: The other solution--- x = -6 ------ makes (x+2) and (x+5) negative.
\n" ); document.write( "You cannot take the log of a negative.
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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