 The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, A« = (10°)  A School Algebra - Page 269by Simon Newcomb - 1882 - 279 pagesFull view - About this book
 | Charles Butler - Mathematics - 1814 - 540 pages
...the multiplication of numbers is performed by adding together their logarithms ; division of numbers, by subtracting the logarithm of the divisor from that of the dividend ; involution of numbers, by multiplying (he logarithm of the root into the logarithm or index of the... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...numbers in the tables ; for, by the property of division (No. 215) we obtain the logarithm of a fraction by subtracting the logarithm of the divisor from that of the dividend. 218. If we had a table of logarithms constructed, it would be easy to construct from this as many as... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...means of the property (203), relating to division, we obtain the logarithm of a fractional number, by subtracting the logarithm of the divisor from that of the dividend. 205. By supposing a first table of logarithms already constructed, it is easy to construct as many... | |
 | Thomas Smith (of Liverpool.) - Arithmetic - 1835 - 172 pages
...And thus might any number, within the limits of our Tables, be divided by any smaller number, merely by subtracting the logarithm of the divisor from that of the dividend, and then finding the difference. 326. It appears, however, in the latter instance, that we do not find,... | |
 | Charles Davies - Algebra - 1835 - 378 pages
...in the tables ; for, by the property of division (Art. 242), we obtain the logarithm of a fraction by subtracting the logarithm of the divisor from that of the dividend. 246. Resuming the equation 10*=y, if we make a;=0, 1, 2, 3, 4, 5, ... n— 1, n. we have y=l, 10, 100,1000,... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...altering their nature. Multiplication is performed by adding the logarithm ot tin, factors; and Division by subtracting the logarithm of the divisor from that of the dividend. If a number of successive multiplications and divisions, without any intervening additions or subtractions,... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...numbers in the tables; for, by the property of division (Art. 259), we obtain the logarithm of a fraction by subtracting the logarithm of the divisor from that of the dividend. 263. Resuming the equation 10*=y, if we make a;=0, 1, 2, 3, 4, 5, ... n— 1, n. we have y=l, 10, 100,1000,... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 pages
...89 97 1.8512583 1.8633229 1.8976271 1.9190781 1.9493900 1.9867717 quotient = the remainder obtained by subtracting the logarithm of the divisor from that of the dividend. _, ma z-» ji im\ ii ror — = —Q = a , and .-. logl— ) =x— y=iogm— logn. n a" ' evn' . & to... | |
 | William John Macquorn Rankine - Engineering - 1866 - 356 pages
...logarithm of a power is equal to the logarithm of the root multiplied by the index of the power. 31. The logarithm of a quotient is found by subtracting the logarithm of the divisor from the logarithm of the dividend. 32. The logarithm of a root is found by dividing the logarithm of one... | |
 | Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...— a;' = log (^Л or, log у — log y' = log ^ j That is, the logarithm of a quotient is obtained by subtracting the logarithm of the divisor from that of the dividend. 11. If all the numbers y, >/, y", &c. be equal in equation (2), and there be m of them, this equation... | |
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