| William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...of a quotient is the difference of the logarithms of the dividend and divisor. 3. The logarithm of a **power of a number is equal to the logarithm of the number multiplied by the** index of the power. 4. The logarithm of a root of a number is equal to the logarithm of the number... | |
| George Wentworth, David Eugene Smith - Trigonometry - 1915 - 386 pages
...multiplication and division by merely adding and subtracting. 42. Logarithm of a Power. The logarithm• of a **power of a number Is equal to the logarithm of the number** multi1i/ieil lnj tio; For if Л = 10-, raising to the ptii power, Ap = Wpr. Hence logA"=px = plogA.... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 348 pages
...dividend minus the logarithm of the divisor. By (b). (6) The logarithm of a power of a number equals **the logarithm of the number multiplied by the exponent of the power.** By (c). (7) The logarithm of a root of a number equals the logarithm of the number divided by the index... | |
| John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...means the cube of 10, 10* means the fourth power of 10, and so on. The logarithm of the power of any **number is equal to the logarithm of the number multiplied by the** index of the power. Formula. — r Log. M = Log. MX r. where M = any number, and r any power. EXAMPLES... | |
| William Miller Barr - Engineering - 1918 - 650 pages
...difference will be the logarithm of the fraction. Involution by Logarithm. — On the principle that **the logarithm of any power of a number is equal to the logarithm of** that number multiplied by the exponent of the power, we have the following rule. Multiply the logarithm... | |
| Raymond Benedict McClenon - Functions - 1918 - 264 pages
...III, (a*)* = alt'k, gives as the Third Law of Logarithms, The logarithm of a power of a number equals **the logarithm of the number, multiplied by the exponent of the power.** For, calling ah=N, (1) Nk = ahk. (Law III) (2) Translating (1) into logarithmic form, h = logaN. Translating... | |
| George Wentworth - 1919 - 266 pages
...0.0170, 15 log1.04 = 0.2550 = log1.799. That is, 1.04" = 1.799. The logarithm of a power of a number is **the logarithm of the number multiplied by the exponent of the power.** Finding a Root by Logarithms. Find the cube root of 42.83. log 42.83 =1.6317, J log 42.83 = 0.5439... | |
| George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...0.0170, 15 log1.04 = 0.2550 = log1.799. That is, 1.04 i5 = 1.799. The logarithm of a power of a number is **the logarithm of the number multiplied by the exponent of the power.** Finding a Root by Logarithms. Find the cube root of 42.83. log 42.83 =1.6317, J log 42.83 = 0.5439... | |
| Walter Burton Ford, Charles Ammerman - Algebra - 1920 - 334 pages
...the fourth. We then have 254, which means 25X25X25X25. This illustrates the following rule. RULE IX. **The logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent** indicating the power. Thus log 3.17" = 10 log 3.17; similarly, log. 001743 = 6 log .00174. The way... | |
| Walter Gustav Borchardt - Arithmetic - 1921 - 260 pages
...™-!2!=lOx-<" n 10" .•. log — ~xy = log m — log n. n Theorem III. — Tlie logarithm of the power of any **number is equal to the logarithm of the number multiplied by the** index of the power. Let logm = x .-. m=10x .-. log ran = nx = n log m. These theorems will apply also... | |
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