Instructions:Select the correct answer. Which function is the inverse of f(x)=50000(0.8)^x

To solve this problem you must follow the proccedure shown below:

 1. You have the following function given in the problem:

  f(x)=50000(0.8)^x

 2. You can rewrite it as below:

 y=50000(0.8)^x

 3. Then, you must apply interchange the variables:

 x=50000(0.8)^y

 4. Now, you have:

 x/50000=(0.8)^y

 5. When you apply ln you obtain:


 ln(x/50000)=ln(0.8)^y
 ln(x)-ln(50000)=yln(0.8)

 6. Now, clear y:

 y=[ln(x)-ln(50000)]/ln(0.8)