Generating Exponential Growth Formula Based on End Value

JaredR900

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Joined
Sep 8, 2016
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Hello,

I'm trying to figure out a formula to create an exponential growth formula that slows at it grows. This is due to the fact that I'm writing an EXP system for a game, which requires these numbers. That is important to note, because in order to generate this formula I needed the numbers from a different growth formula I generated. My first growth formula used for 8 different skills, which together grow the main characters level. That formula is:

base_EXP * (level ^ Slider)

The numbers are less important than the end result, that of which shows every level caps at level 100 with 99,526 exp. As I stated, there are 8 skills, which means a total of 796,208 exp to be earned. What I now need to figure out, is how to take that number, and generate a formula starting from 0-796,208 with 99 iterations(level 1-100) that slows in growth. I understand how to write an exponential growth formula, but not when trying to solve it with a specific end value. Any help would be greatly appreciated, thank you.
 
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