SOLUTION: log[10](x)+log[10](3x+55)=2 How do you solve this?

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Question 722980: log[10](x)+log[10](3x+55)=2
How do you solve this?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log[10](x)+log[10](3x+55)=2
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log[x(3x+55)] = 2
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3x^2+55x = 10^2
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3x^2 + 55x -100 = 0
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x = [-55 +- sqrt(55^2-4*3*-100)]/6
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x = 5/3 or x = -20
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Usable solution:
x = 5/3
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Cheers,
Stan H.
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