SOLUTION: write "t" as a function of "Q" Q(t) = Qo ( 1-e^-t/a)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: write "t" as a function of "Q" Q(t) = Qo ( 1-e^-t/a)      Log On


   

Question 969364: write "t" as a function of "Q"


Q(t) = Qo ( 1-e^-t/a)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write "t" as a function of "Q"
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Q(t) = Qo ( 1-e^-t/a)
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(1 - e^(-t/a)) = Q(t)/Qo
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e^(-t/a) = 1-[Q(t)/Qo]
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-t/a = ln[1-Q(t)/Qo ]
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t = -a*ln[1-Q(t)/Qo]
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Cheers,
Stan H.
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