i need to make t subject. any1 help?
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$\displaystyle A=A_0 e^{-\lambda t}$ $\displaystyle \frac{A}{A_0}= e^{-\lambda t}$ $\displaystyle \ln\frac{A}{A_0}= -\lambda t$ $\displaystyle t= \frac{-1}{\lambda}\ln\frac{A}{A_0}$
i cant seem to get the correct answer t=-4.76 x 10^-5 A= 0.005 A_0= 0.005 {\lambda= 0.1}
$\displaystyle t= \frac{-1}{\lambda}\ln\left(\frac{A}{A_0}\right) = \frac{-1}{0.1}\ln\left(\frac{0.005}{0.005}\right) = 0$ Is $\displaystyle A = A_0$ ?
The values of A, A0 and λ are 0.005, 0.005 and 0.1. Find the value of t?
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