 | 1801 - 446 σελίδες
...of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be z;6 ; which is the logarithm of 64, or the third power of...index of its root, the quotient will be equal to the logarJthm of that root. Thus, the index or logarithm of 64 is 6 ; and if this number be divided by... | |
 | Charles Hutton - 1811 - 406 σελίδες
...power. Thus, the index or logarithm of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 64, or the third pbwer of 4. Ai}d, if the logarithm of any number be divided by the index of its root, the quotient... | |
 | Charles Hutton - 1812 - 620 σελίδες
...power. Thus, the index or logarithm of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm...And, if the logarithm of any number be divided by tlie index of its root, the quotknt will be equal to the logarithm of that root. Thus, the index or... | |
 | Charles Hutton - 1816 - 610 σελίδες
...be multiplied by 3, the product will b* = 6 ; which is the logarithm of 64, or the third power Of4. And, if the logarithm of any number be divided by...root, the quotient will be equal to the logarithm ef that root. Thus, the index or logarithm of 64 is 6 ; and if this number be divided by 2, the quotient... | |
 | 1818 - 264 σελίδες
...multiplied by 3, the product will be 6, equal to the logarithm of 1000000, or the 3d power of 100. Again, if the logarithm of any number be divided by the index of its root, the quotient will be the logarithm of its root. Thus, the index, or logarithm of 1000000, is 6, and if this number be divided... | |
 | Charles Hutton - 1822 - 616 σελίδες
...power. Thus, the index or logarithm of 4 in the above series, is t ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 61, or the third power of 4. And, if the logarithm of any number be divided by the index of its root,... | |
 | Thomas Kerigan - 1828 - 776 σελίδες
...multiplied by 2, the product will be 8, which is the logarithm of 256, or the square of 16. Again, — if the logarithm of any number be divided by the index...logarithm of that root ; thus, the index or logarithm of 256 is 8 ; now, 8 divided by 2 gives 4 ; which is the logarithm of 16, or the square root of 256, according... | |
 | Daniel Adams - 1828 - 286 σελίδες
...cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION. V 112. Any... | |
 | Daniel Adams - 1828 - 266 σελίδες
...cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION'. *» IT... | |
 | Daniel Adams - 1830 - 280 σελίδες
...cube rcots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION1. V 112.... | |
| |
For the same reason, if the logarithm of any number be multiplied by the index of its power, the product will be equal to the logarithm of that power. 
