| Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...and loga N = n • Then M = am and N =an M N' lOSa(^)=mn Why? = logaAf— loga N Hence the logarithm **of the quotient of two numbers is equal to the logarithm of the** dividend minus the logarithm of the divisor. For example, log |- = log 8— log 3 EXEECISE Find log... | |
| George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 334 pages
...enables us to replace multiplication by addition with the aid of a table of logarithms. (b) The logarithm **of the quotient of two numbers is equal to the logarithm of the** dividend minus the logarithm of the divisor. From (1) and (2) above we have, applying a law of exponents,... | |
| William Charles Brenke - Algebra - 1917 - 212 pages
...of a product equals the sum of the logarithms of the factors. II. The logarithm of a fraction equals **the logarithm of the numerator minus the logarithm of the denominator. III.** The logarithm of any power of a number equals the exponent of the power times the logarithm of the... | |
| Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...Then pq = bmbn = 6m+n. Therefore log6 pq = m + n why? = log6 p + logi, q. 8. Theorem. The logarithm **of the quotient of two numbers is equal to the logarithm of the** dividend minus the logarithm of the divisor. Let p = bm and q = bn, whence log6 p = m and log6 q -... | |
| James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...Thus, the logarithm of a product is the sum of the logarithms of the several factors. (2) The logarithm **of the quotient of two numbers is equal to the logarithm...numerator minus the logarithm of the denominator.** Let us use the same numbers as in the previous demonstration. (3) The logarithm of a number affected... | |
| Samuel Edward Dibble - Plumbing - 1922 - 648 pages
...two or more numbers equals the sum of the logarithms of the numbers. 2. The logarithm of a fraction **is equal to the logarithm of the numerator minus the logarithm of the denominator.** 3. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent... | |
| William Moses Feldman - Biology - 1923 - 454 pages
...2-2061 - 1-2614 = -9447 = log 8-805 x = 8-805. Explanation. — (i.) The logarithm of the fraction **is equal to the logarithm of the numerator minus the logarithm of the denominator** (rule (ii.) ). (ii.) The logarithm of the numerator is equal to the sum of the logarithms of its separate... | |
| Encyclopedias and dictionaries - 1926 - 890 pages
...1. The logarithm of a product is equal to the sum of the logarithms of its factors. 2. The logarithm **of the quotient of two numbers is equal to the logarithm of the** dividend less the logarithm of the divisor. 3. The logarithm of a number affected by an exponent is... | |
| Paul Carus - Religion - 1914 - 876 pages
...logarithm of the product of numbers is equal to the sum of the logarithms of those numbers, the logarithm **of the quotient of two numbers is equal to the logarithm of the numerator** diminished by the logarithm of the denominator, the logarithm of a power of a number is equal to the... | |
| United States. Bureau of Naval Personnel - Surveying - 1955 - 396 pages
...PRODUCT IS EQUAL TO THE SUM OF THE LOGARITHMS OF THE FACTORS, (2) THE LOGARITHM OF A RATIONAL FRACTION **IS EQUAL TO THE LOGARITHM OF THE NUMERATOR MINUS THE LOGARITHM OF THE DENOMINATOR,** and (3) THE LOGARITHM OF i is ZERO. The computation for finding the sums of the two sets of logarithms... | |
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