SOLUTION: Solve for t: 3e^t/2-12=0

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Question 427374: Solve for t: 3e^t/2-12=0
Answer by Gogonati(855) About Me  (Show Source):
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Solve:3e%5E%28t%2F2%29-12=0 (note: the unclear power is t/2)
3%28e%5E%28t%2F2%29-4%29=0
e%5E%28t%2F2%29-4=0
e%5E%28t%2F2%29=4 Take the ln of both sides:
ln%28e%5E%28t%2F2%29%29=ln%284%29
(t/2)*ln(e)=ln(4)=> t/2=ln(4) => t=2ln(4) (note:ln(e)=1)