Solve the equation

Question

Solve 300=600e^-0.00383t for t.

Answer 1

300 = 600e^-0.00383t

OK, since t is up in the exponent of e, you know you're going to have to use a log (ln) at some point to get it out of the exponent. So let's do it.

300 = 600e^-0.00383t

0.5 = e^-0.00383t

Now's the time to use the natural log (base e):

ln(0.5) = ln(e^-0.00383t)

ln(0.5) = -0.00383t

Can you take it from here?

Answer 2

Question: Solve 300=600e^-0.00383t for t.

Divide both sides by 600

300/600 = e^-0.00383t

e^ 0.00383 =1/2

To remove the "e" take the natural log of both sides

ln (300/600) = ln (e^-0.00383t)

the "e" cancels out

ln(0.5) = -0.00383t = -ln(2) }

t= ln(0.5)/ -0.00383

t = 180.978