`500/(100 - e^(x/2)) = 20` Solve the exponential equation algebraically. Approximate the result to three decimal places.

loves2learn | Student

`500=20(100-e^(x/2))`  

`100-e^(x/2)=25 `

`-e^(x/2)=-75 `

`e^(x/2)=75 `

Take the ln of both sides and bring down the exponent

`(x/2)lne=ln75 `

Simplify,

`x=8.635 `