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Math Help - make t subject

  1. #1
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    make t subject

    i need to make t subject.



    any1 help?
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  2. #2
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     A=A_0 e^{-\lambda t}

     \frac{A}{A_0}= e^{-\lambda t}

     \ln\frac{A}{A_0}= -\lambda t

     t= \frac{-1}{\lambda}\ln\frac{A}{A_0}
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  3. #3
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    i cant seem to get the correct answer t=-4.76 x 10^-5


    A= 0.005
    A_0= 0.005
    {\lambda= 0.1}
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  4. #4
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    t= \frac{-1}{\lambda}\ln\left(\frac{A}{A_0}\right) = \frac{-1}{0.1}\ln\left(\frac{0.005}{0.005}\right) = 0

    Is A = A_0 ?
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  5. #5
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    The values of A, A0 and λ are 0.005, 0.005 and 0.1. Find the value of t?
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