SOLUTION: Hi the section im working on is natural logs Im confused on this problem. Use the properties of logarithms to simplify each question and solve it. Round to the nearest hundredth

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Question 131513: Hi the section im working on is natural logs Im confused on this problem.
Use the properties of logarithms to simplify each question and solve it. Round to the nearest hundredth.
ln(x+2)+ln(x-2)=0

thanks :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x+2)+ln(x-2)=0
ln[(x+2)(x-2)] = 0
ln[x^2-4] = 0
x^2-4 = e^0
x^2-4 = 1
x^2 = 5
x = sqrt5 or x = -sqrt(5)
Only x = sqrt5 is an acceptable answer
because -sqrt(5)-2 is negative and ln(negative) does not exist.
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Cheers,
Stan H.