Question

How do you solve `500/(100-e^(x/2))=20`?

Answer 1

First, you get all of the constant terms on one side. Then you take the natural log of both sides.

Explanation:

`500 = 100−e^(x/2) * 20 ; 500 = 2000 – 20e^(x/2)`

`20e^(x/2) = 1500 ; e^(x/2) = 75`

`ln(e^(x/2)) = ln75 ; x/2 = 4.32 ; x = 8.64`