In desmos, type in the coordinates:
(0.04, -2)
(0.2, -1)
(1,0)
(5,1)
(25,2)
(125, 3)
What relationship do you see between the x and y coordinates?
We take 4 degree polynomial.
y=-0.0001024821038x4+0.0160450936592x3-0.4223097247208x2+2.2828967275338x-1.8013337468982
The graph is given below,
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