We have to solve the equation: 5^(t+1) = 4*5^t + 1

5^(t+1) = 4*5^t + 1

=> 5^t * 5 = 4* 5^t + 1

let y = 5^t

=> y*5 = 4*y + 1

=>5y - 4y = 1

=> y = 1

Now 5^t = y = 1

=> t = 0 , as any number raised to the power 0 is 1.

**Therefore, we get the solution t = 0 .**

## See eNotes Ad-Free

Start your **48-hour free trial** to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Already a member? Log in here.