I hope this is the right category.
I'm programming a game and came up with some problems I could solve with some built-in functions but decided to try and understand the logic of how the formula would look like and work.
So what I wanted to achieve is going from 0 to 50 exponentially in 5 steps, what I mean by steps is the amount of times its required to add to the starting value in order to reach the target value 50.
Ideally I would be able to adjust the ramping of the "curve" so it starts adding more on the first steps and less at the end or the opposite.
The important part is that the target value must be the exact value or finitely close. How could I achieve this using mathematics? I hope the idea gets through even with all the, probably wrong, terminology I used.
I'm programming a game and came up with some problems I could solve with some built-in functions but decided to try and understand the logic of how the formula would look like and work.
So what I wanted to achieve is going from 0 to 50 exponentially in 5 steps, what I mean by steps is the amount of times its required to add to the starting value in order to reach the target value 50.
Ideally I would be able to adjust the ramping of the "curve" so it starts adding more on the first steps and less at the end or the opposite.
The important part is that the target value must be the exact value or finitely close. How could I achieve this using mathematics? I hope the idea gets through even with all the, probably wrong, terminology I used.