If the logarithms of the prime numbers 2, 3, 5 and 7 are expressed as continued fractions and then tabulated as ratios, the following table of step-logarithms is obtained:
| N | Log a N | N | Log a N | N | Log a N | N | Log a N |
|---|---|---|---|---|---|---|---|
| 1 | 0 | 4 | 62 | 7 | 87 | 10 | 103 |
| 2 | 31 | 5 | 72 | 8 | 93 | 11 | 107 |
| 3 | 49 | 6 | 80 | 9 | 98 | 12 | 111 |
Other logarithms are easily obtained. For example
Log a 4.2 = log a 6 x 7/10 = log6 + log7-log10.
Therefore
log a 4.2 = 80 + 87 - 103 = 64.
This results in a simple duplex table, in which each steplog column is 31 greater than the steplog column to its left.
| N | LgsN | N | LgsN | N | LgsN | N | LgsN |
|---|---|---|---|---|---|---|---|
| 1 | 0 | 2 | 31 | 4 | 62 | 8 | 93 |
| ''' | ''' | ''' | ''' | ''' | ''' | ''' | ''' |
| 1.5 | 18 | 3 | 49 | 6 | 80 | 12 | 111 |
| ''' | ''' | ''' | ''' | ''' | ''' | ''' | ''' |
| 2 | 31 | 4 | 62 | 8 | 93 | 16 | 124 |
For more information, write Harford Van Dyke, P.O. Box 3100, Battle Ground, Washington. 98604 (See Author's Monographs, and Books)
Comments: rsc@navi.net