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I'm creating an RPG game (using C# in Unity API) that uses a leveling system. I went to the Desomos Online Graphing Calculator and created the following curve representing the levels based on experience: https://www.desmos.com/calculator/bsvkba4qg1. Note that the Y-intercept is at approximately (0, 1).

My Character class has the following fields representing the experience curve from above:

public float experience { get; set; }

public int level {
    get
    {
        float level = experience / 120;
        level += 1.123f;
        level = Mathf.Log(level);
        level *= 20;
        return Mathf.FloorToInt(level);
    }
}

However, when the game begins and experience defaults to 0 as floats do, level returns 2. When experience is 100, level returns 13. Clearly there is some error on my part. Have I entered my formula wrong? If so, how can I fix it, and if not, what else might be the problem?

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In your Desmos graph, you are using log base 10, however your unity function is using log base e (natural log, often abbreviated ln). To specify that you want log base 10, you need to add a second argument like the example below. See Mathf.Log() for details.

 level = Mathf.Log(level,10);
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  • \$\begingroup\$ Thank you so much. I knew it was something simple. It seems I have forgotten a thing or two from my school days. Cheers! \$\endgroup\$ – Tanner Fix-It Smith Feb 24 '17 at 2:35

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