SOLUTION: What is the answer of log base5 (x+2) = -log base5 (x) thank you

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Question 760794: What is the answer of
log base5 (x+2) = -log base5 (x)
thank you
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the answer of
log base5 (x+2) = -log base5 (x)
***
log%285%2C%28x%2B2%29%29=-log%285%2C%28x%29%29
log%285%2C%28x%2B2%29%29%2Blog%285%2C%28x%29%29=0
log%285%2C%28x%2B2%29x%29=0
(x+2)x)=1
x^2+2x=1
x^2+2x-1=0
solve for x by quadratic formula:
x≈-2.45 (reject)
or
x≈0.4142