Monday, September 03, 2012

[btlhqbdd] Powers of roots

Powers of cube root of 10: 1 2.15 4.64 10

This is the motivation for currency in units of 1 2 5 10 20 50... approximately geometric progression.

4th root: 1 1.78 3.16 5.62 10
5th root: 1 1.58 2.51 3.98 6.31 10
6th root: 1 1.47 2.154 3.16 4.64 6.81 10
8th root: 1 1.33 1.78 2.37 3.16 4.22 5.62 7.499 10
10th root: 1 1.26 1.58 2.00 2.51 3.16 3.98 5.01 6.31 7.94 10

Twenty common logarithms

Cube root of 2: 1 1.26 1.59 2
4th root: 1 1.19 1.41 1.68 2
5th root: 1 1.149 1.32 1.52 1.74 2
6th root: 1 1.12 1.26 1.41 1.59 1.78 2
8th root: 1 1.09 1.19 1.30 1.41 1.54 1.68 1.83 2
10th root: 1 1.07 1.149 1.23 1.32 1.41 1.52 1.62 1.74 1.87 2

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