Question

300=525(1-e^-.038t)

Solve for t

Answer 1

`525\left(1-e^(-0.038t)\right)=300\\\\525-525e^(-0.038t)=300\\\\-525e^(-0.038t)=300-525\\\\-525e^(-0.038t)=-225\\\\e^(-0.038t)=(225)/(525)\\\\ e^(-0.038t)=(3)/(7)\\\\-0.038t=\ln\left((3)/(7)\right)\\\\\boxed{t=-\ln\left((3)/(7)\right)*0.038}`