SOLUTION: After what period is the interest generated equal to the original principal if the account pays 6% compounded daily?

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Question 1177589: After what period is the interest generated equal to the original principal if the account pays 6% compounded daily?
Answer by mananth(16946) About Me  (Show Source):
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Let Principal be 100
Amount (FV) =200
interest = 6%
compounded daily

Amount = P*((n+r)/n)^n

200 = 100 *( 1 + 0.005 )^ n*t
2 = *( 1 + 0.005 )^ n* 12
ln 2 = 12 n *ln 1.005
0.693147181 = 12 0.004987542 *n
11.58 = n
11.58 years