REMARKS ON APPENDIX. 57
| Logarith. | Logarith. | |||||
| 1 | (0) | 0rith. | 1 | (0) | 0rith. | |
| 316227766 | (1) | 5rith. | 50118724 | (1) | 7rith. | |
| 1000000000 | (2) | 10rith. | 251188649 | (2) | 14rith. | |
| 100 | (4) | 20rith. | 630957376 | (4) | 28rith. | |
| 1000 | (6) | 30rith. | 316227766 | (5) | 35rith. | |
| 316227766 | (7) | 35rith. | ||||
It should be observed that if the common divisor be unity, as in both the preceding examples, the product of the given Logarithms is the Logarithm of the number produced, because multiplication by unity does not increase the thing multiplied.
Third Example.
| Logarithms. | Quotients. | |||
| Let the given numbers be | 343 | 2.53529412 | 3 | |
| 823543 | 5.91568628 | 7 | ||
| Let the common divisor be | 84509804 | |||
| Number of Places |
|||
| 1 | (0) | 0 | |
| 3 | 343 | (1) | 2.53529412 |
| 6 | 117649 | (2) | 5.07058824 |
| 8 | 40353607 | (3) | 7.60588236 |
| 11 | 3841287201 | (4) | 10.14117648 |
| 18 | 558545864083284007 | (7) | 17.74705884 |
| 6 | 823543 | (1) | 5.91568628 |
| 12 | 678223072849 | (2) | 11.83137256 |
| 18 | 558545864083284007 | (3) | 17.74705884 |
As
