Finding a function to match a given graph

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I'm trying to draw a curved graph as in Image 1 using the below function. But I got Image 2. How I can able to get exactly like Image 1 curve? :|

Sorry, I'm not good at Maths, so I just added my function below instead of the maths part. I just need the Maths part only, I'll convert it to the code :)

generateDummyData() {
  //       x  y
  rows = [[0, 0]];

  for (let i = 0; i < 8E3; i++) {
    rows.push([i, Math.floor(Math.log(i) * 32000)]);
  }

}

Image 1 (What I expect) enter image description here Image 2 (What I got) enter image description here

Thanks,