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So, this is a bit hard to explain. I want to devise an equation that turns the numbers on the left into the numbers on the right.

8 = 20

20 = 40

32 = 80

44 = 160

56 = 320

As well as all the other values in between 8-56. As in, the numbers between 8-20 have a proportional value between 20-40. Numbers between 32-44 have a proportional value between 80-160 ect.

The values on the left go up linearly and the values on the right go up exponentially.

I hope this makes sense. It's quite hard to explain. But would appreciate any help. Thanks

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Increasing by 12 doubles the result so something like $20*2^{(x-8)/12}$.

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  • $\begingroup$ +1 : nice catch. I was fumbling with my calculator looking at the change in proportions $[8 : 20] \cdots [56:320].$ $\endgroup$
    – user2661923
    Dec 2, 2020 at 1:06
  • $\begingroup$ great. Thanks a lot $\endgroup$
    – Dr. Shakamoto
    Dec 2, 2020 at 1:44

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