...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...

...if they be unlike, it is — .* Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient. If the dividend be compound, divide each term of it separately by the divisor....

...negative product, 45, equal to TT. DIVISION BY LOGARITHMS. To divide one number by another, SUBTRACT THE LOGARITHM OF THE DIVISOR FROM THAT OF THE DIVIDEND. THE REMAINDER WILL BE THE LOGARITHM OP THE dUOTIEHT. EXAMPLES. 1. Divide 15,625 by 625. Log. 15,625=4.193820 Log....

...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...

...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...

...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,...

...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,...

...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,...

...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,...

...taken, computes all the three. — " Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient." This is faulty in more respects than one. It is not powers of the same quantity...