confused

[TKM625]

how would i even start to solve this? :?

600=5000(1-4/4+e^-.002x)

 

[daon]

I assume you learned about the natural logarithm?
Basically, you want to get the $\displaystyle e$ part all by itself and then take the Ln of both sides of the equation. When you take the Ln of e, the exponent of e is all that remains. For example:

$\displaystyle e^{3x}=4 \Rightarrow Ln(e^{3x})=Ln(4) \Rightarrow 3xLne=Ln4 \Rightarrow 3x=Ln4$

For your problem, distribute the 5000 to the inside terms, then move everything on the left side of the equation over to the right except for the e term and then take the Ln of both sides. You may find it more helpful to divide through by the coefficient of e before taking the Ln since there will be one in this case.