Need Some Help With Member Experience Formula

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#1 ShoeLace1291

ShoeLace1291

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Posted 30 August 2013 - 12:33 AM

I am developing a PHP application that will have a member login and profile system.  I have created a table for storing member's experience(exp) for certain actions.  For example, if they create a new forum thread, add a comment to an article, etc, they will earn a certain amount of exp.  I have found a formula that will calculate the member's exp level.  I need to find their progress percentage based on the exp required for the next level.  For example, if they are level 1 with 75 exp and it takes 100 exp to level up to 2, then they are 75% of the way to level 2.

What this formula I need should do is find out the total exp needed for the next level.  I can get the percentage from there.  Below is the formula I currently am using.  Any help is greatly appreciated!

```
\$experience = 18714;
\$level = pow((\$experience / 1000), ( 7 / 10));
\$level = floor(\$level);

echo \$experience; // Would output '7'

```

PS:  Any input on adjusting the \$level formula to make it harder or easier to level up is welcome!

#2 requinix

requinix

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Posted 30 August 2013 - 01:48 AM

```L = (E / 1000) ^ (7 / 10)
L ^ (10 / 7) = ((E / 1000) ^ (7 / 10)) ^ (10 / 7)
= (E / 1000) ^ (7 / 10 * 10 / 7)
= E / 1000
1000 * L ^ (10 / 7) = E```
Protip: WolframAlpha is pretty cool
- Solve for E
- Graph of L for E=0 to 20k (shows that you gain levels more slowly)
- Graph of E for L=0 to 50 (shows that it takes more and more experience to level)
- Graph of ΔE for L=0 to 10 (shows how much more experience is required between levels)