SOLUTION: log(x+2)=2-log x how to solve this equation!

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Question 1078494: log(x+2)=2-log x
how to solve this equation!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28%28x%2B2%29x%29%29=2

10%5E2=x%28x%2B2%29

x%5E2%2B2x=100

x%2B2x-100=0

discriminant, 4%2B4%2A100=404=101%2A4
x=%28-2%2B-+sqrt%284%2A101%29%29%2F2
x=%28-2%2B-+2%2Asqrt%28101%29%29%2F2
highlight%28x=-1%2Bsqrt%28101%29%29





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log base ten