The traditional compound interest equation is:
A is the balance after t years
P is the principal (initial amount)
r is the annual rate, written as a decimal
n is the number of compounds in a year.
However, this is "continuous" compounding. So the equation is a little different:
All variables are the same.
You are solving for time (t), so you should have all of the other variables.
Divide both sides by 100.
Take the natural log (ln) of both sides, to cancel the base e.
Divide by 0.06 on both sides to isolate t.