SOLUTION: Solve for n log n + log(n+3)is equal to 2

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Question 1036195: Solve for n
log n + log(n+3)is equal to 2
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
log n + log(n+3) = 2
log(n(n+3)) = 2
If we are working with log base 10,
log(n(n+3)) = log(100), since log(100) = 2
So n(n+3) = 100
n^2 + 3n = 100
add -100 to each side
n^2 + 3n - 100 = 0
By quadratic formula
n = +-%283%2F2%29+-+%28sqrt%28409%29%29%2F2+
n = +%28sqrt%28409%29%29%2F2+-%283%2F2%29++