document.write( "Question 749174: ln x + ln (x+1-e) = 1 \n" ); document.write( "
Algebra.Com's Answer #455811 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
ln x + ln (x+1-e) = 1
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\n" ); document.write( "ln[x(x+1-e)] = 1
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\n" ); document.write( "x^2+x-ex = e
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\n" ); document.write( "x^2 + x(1-e) - e = 0
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\n" ); document.write( "x = [e-1 +- sqrt[(1-e)^2 - 4(-e)]/2
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\n" ); document.write( "x = [e-1 +- sqrt[e^2-2e+1 + 4e]/2
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\n" ); document.write( "x = [e-1 +- sqrt[e^2+2e+1]/2
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\n" ); document.write( "x = [e-1 +- e+1]/2
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\n" ); document.write( "x = 2e/2 = e or x = -2/2 = -1
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\n" ); document.write( "x cannot be negative
\n" ); document.write( "Only Solution: x = e
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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