SOLUTION: For what values of x is the following true? ln(2x+3) = 2lnx+ln3 Thanks!

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