How to generate Logarithmic function from given point?

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I trying make player progression curve for my game design module. i have difficult to find up the curve to fit my description.

The given data (time , level) time in min and level is just a integer.

  • (0,1) mean player start at level 1 in 0 min
  • (5,2) mean player level up to level 2 in 5 mins from level 1
  • (3000,30)mean player level up 30 in 3000 mins from level 1

any ideas to get the curve equation that describe these data?