Question

How do you solve `500e^-x=300`?

Answer 1

x= 0.5108

Explanation:

Divide by 500 on both sides,
`e^(-x)= 3/5`

Therefore, `e^x=5/3`

Now take natural log on both sides,

x lne= ln 5- ln 3

x= ln 5 -ln 3 = 1.6094- 1.0986=0.5108