How long will it take an investment to triple in value if the interest rate is 4% compounded continuously?

Question

i know its set up as 3x=x(e^rt)

but im confused as what to do nxt

Answer 1

3x = x*(e^rt) is correct, and in this case r = 0.04. Take the natural logarithms of both sides of the equation.
ln 3 + ln x = ln x + rt
The x terms drop out.
t = ln3/r = 1.0986/0.04 = 27.46 years