| 1906
...it was not often taken. C. In TRIGONOMETRY the work was on the whole fairly good. Q. 33. Explain why **the logarithm of the product of two numbers is * equal to the sum of the logarithms of the numbers.** By means of logarithms given below, find the fifth root, and the fifth power of 0'69889 correct to... | |
| William Findlay Shunk - 1908 - 345 páginas
...lies between 10 and 100; hence its logarithm lies between 1 and 2, as does the logarithm of 74. 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.... | |
| George Wentworth, David Eugene Smith - 1914 - 314 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** Let A and В be the numbers, and x and y their logarithms. Then, taking 10 as the base and remembering... | |
| Charles Sumner Slichter - 1914 - 490 páginas
...by definition of a logarithm §132: loga nr = x + y or, by (1) loga nr = Iog0 n + loga r (3) Hence, **the logarithm of the product of two numbers is equal to the sum of the logarithms of** those numbers. In the same way, if log,, s =z , then: nrs = aI+"+* that is, loga nrs = loga n + logo... | |
| George Wentworth, David Eugene Smith - 1915 - 230 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. **The logarithm of the product of two numbers is equal to the** к«т of the logaritJinis of the numbers. Let A and В be the numbers, and x and y their logarithms.... | |
| Florian Cajori - 1916
...N1, L-\-Li = logarithm of N • Nv Hence, the theorem, TTie logarithm of the product of two positive **numbers is equal to the sum of the logarithms of the numbers.** 112. The integral part of a logarithm is called its characteristic, and the decimal part is called... | |
| Florian Cajori - 1916
...Ni, L+L! = logarithm of N • N¡. Hence, the theorem, The logarithm of the product of two positive **numbers is equal to the sum of the logarithms of the numbers.** 112. The integral part of a logarithm is called its characteristic, and the decimal part is called... | |
| George Neander Bauer, William Ellsworth Brooke - 1917 - 313 páginas
...illustrated is peculiar to the system of logarithms of which 10 is the base. 4. Laws of logarithms. (a) **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** Given a* = m (1) or Iog0 m = x (3) a" = и (2) or loga n = y. (4) From the law of exponents ax+v =... | |
| ARTHUR SULLIVAN GALE, CHARLES WILLIAM WATKEYS - 1920
...easily deduced from the corresponding properties of the exponential function as follows: 7. Theorem. **The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.** Let p = bmj whence Iog6 p = m, and q = bn, whence log& q = n. Then pq = bmbn = bm+n. Therefore log?,... | |
| James Thom Beard - 1920 - 433 páginas
...logarithmic sum is the desired product. In other words, the logarithm of the product of two or more **numbers is equal to the sum of the logarithms of the numbers.** 2. Division : To divide one number by another, subtract the logarithm of the divisor from that of the... | |
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