SOLUTION: How long does it take for a deposit of $ 1200 to double at 4​% compounded​ continuously?

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Question 1159443: How long does it take for a deposit of $ 1200 to double at 4​% compounded​ continuously?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

P%28t%29=P%5B0%5D%2Ae%5E%28r%2At%29
given:
P%5B0%5D=1200
R=4%->r=0.04
want to double->P%28t%29=2400


2400=1200%2Ae%5E%280.04%2At%29
e%5E%280.04%2At%29=2400%2F1200
e%5E%280.04%2At%29=2
ln%28e%5E%280.04%2At%29%29=ln%282%29
%280.04%2At%29+ln%28e%29=ln%282%29..........ln%28e%29=1
0.04%2At=ln%282%29
t=ln%282%29%2F0.04

t≈17.329 years