SOLUTION: The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^(rt) where r is expressed as a decimal. S

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A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r.
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A=Pe^(rt)
Divide both sides by P:
A/P = e^(rt)
Take the natural log of both sides to get:
ln(A/P) = rt
Divide both sides by r:
(1/r)ln(A/P) = t
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Cheers,
Stan H.