 | James Hamblin Smith - Trigonometry - 1877 - 244 pages
...long as we are treating of logarithms to the particular base 10, we may omit the suffix. 148. Tlie logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Let m=a*, and n=as. Then - = a-», •'• s. - = xy =... | |
 | Benjamin Greenleaf - 1879 - 346 pages
...m, ai = n. Multiplying these equations, member by member, We have, in which, x 4- y = Ioga m n. 359. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. For, assume the equations, a* = wi, ai — n, and dividing, member by member, we have in which x —... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...Multiplying these equations, member by member, We have, in which in which, x -\- y = loga m n. 359. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. For, assume the equations, ax = m, a" = n, and dividing, member by member, we have , „ in ax~>> —... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...Multiplying these equations, member by member, We have, а.т + y==.mn, in which, x-^-y= log,, m n. 359. 77,e logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. For, assume the equations. <f = m, a3 = n, and dividing, member by member, we have in which x — y... | |
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...---- ; or, the logarithm of a product is equal to the sum of the logarithms of its factors. 103. or, the logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. 104. loga m"=n loga m; n being integral or fractional. _ i j. 105. loga ?/m=loga m* = - loga m, n 106.... | |
 | William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...5. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. The logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor. The logarithm of any power of a number is equal to the logarithm... | |
 | John Charles Snowball - Trigonometry - 1880 - 256 pages
...-L»; or, log f™ J= log m -log n. Hence if there be found in the tables the number whose logarithm is the logarithm of the dividend minus the logarithm of the divisor, the quotient is obtained. 6. The logarithm of the cth power of any number is equal to с times the logarithm's... | |
 | George Albert Wentworth - Algebra - 1881 - 400 pages
...= x + y, = log m + log n. In like manner, the proposition may be extended to any number of factors. II. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. For, let m and n be two numbers, and x and y their logarithms. Then m = of, and n = a?. Hence, m +... | |
 | Education, Higher - 1883 - 536 pages
...geometrically the cosine of the sum of two angles whose sines and cosines are given. 3. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 4. Find log '005957964, having given log 59579 = 4-7750933,... | |
 | James Hamblin Smith - 1883 - 466 pages
...for so long as we are treating of logarithms to the particular base 10, we may omit the suffix. 456. The logarithm of a quotient is equal to the, logarithm of the dividend diminished by the logarithm of the divisor. Let m=a', and n=a'. Then "ao"~'5 = log.m — log.n. Thus... | |
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The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. 
