document.write( "Question 327235: For what values of x is the following true?\r
\n" ); document.write( "\n" ); document.write( "ln(2x+3) = 2lnx+ln3\r
\n" ); document.write( "\n" ); document.write( "Thanks!
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Algebra.Com's Answer #234394 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
ln(2x+3) = 2lnx+ln3
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\n" ); document.write( "ln(2x+3) = ln(x^2) + ln(3)
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\n" ); document.write( "ln(2x+3) = ln[3x^2]
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\n" ); document.write( "Take the anti-log and solve for \"x\":
\n" ); document.write( "2x+3 = 3x^2
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\n" ); document.write( "3x^2 - 2x - 3 = 0
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\n" ); document.write( "Quadratic Formula:
\n" ); document.write( "x = [2 +- sqrt(4 - 4*3*-3)]/6
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\n" ); document.write( "x = [2 +- sqrt(40)]/6
\n" ); document.write( "---
\n" ); document.write( "x = [2 +- 2sqrt(10)]/6
\n" ); document.write( "---
\n" ); document.write( "x = [1 +- sqrt(10)]/3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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