SOLUTION: log x+1/2log(x+2)=2

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Question 980511: log x+1/2log(x+2)=2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log x+1/2log(x+2)=2
log(x) + (1/2)log(x+2) = log(100)
log(x*sqrt(x+2)) = log(100)
x*sqrt(x+2) = 100
x^2(x+2) = 10000
x^3 + 2x^2 - 10000 = 0
x =~ 20.89788434281322835 by graphing.