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How to generate an exponential curve between two values with a given amount of data points

I am trying to implement a function as follows but really lack the math skills, any help would be greatly appreciated.

The function should take an amount of data points x and return an array of size x containing exponentially increasing values from 0 to 100 (for example). Ideally it should also accept a lambda value to modify the curve.

function exponentialCurve(x, max=100, lambda=4) {
  // returns an array of size x where each entry represents a point on an exponential curve between 0 and max
}

This is for applying exponential decay to audio PCM data. Again anything to help point me in the right direction would be really great, thanks for reading.

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Answer

Is this what you’re looking for (where 1 <= lambda <=10)?

function exponentialCurve(x, max=100, lambda=4) {
    // returns an array of size x where each entry represents a point on an exponential curve between 0 and max
    const base = Math.log(x) / Math.log(lambda);
    const points = Array(x).fill(max);
    return points.map((point, n) => point / Math.pow(base, n));
}
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