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 Βιβλία Βιβλία 41 - 50 από 99 για The logarithm of any power of a number is equal to the logarithm of the number multiplied.... The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. A Theoretical and Practical Arithmetic: In which the Principles of that ... - Σελίδα 233
των Bézout - 1825 - 236 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## An Elementary Algebra

Daniel Barnard Hagar - 1873 - 263 σελίδες
...equation a" = n, member by member, we have in which x— y is the logarithm of the quotient — . 5. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, raising both members of the equation ax =... ## Elements of Algebra

...if»>m, loga is negative, ie the logarithm of a number less than unity is negative. 160. — PROP. The logarithm of any power of a number is equal to the logarithm of the number, multiplied by the index of the power. For if x = log . га, я = о*, . • . nm = a1"*... ## Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1864 - 490 σελίδες
...12.234 : 87.5 X 3.7547 : : 56.5 : r, to find z. Ans. 2014.96. INVOLUTION BY LOGARITHMS. 22. Proposition. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of thc power. Let (1) b* =n; then, by def., log n =z. (1)'=(2)... ## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 σελίδες
...to the power denoted by p, we have, 10'' = mr ; whence, by the definition, xp = log mr (8.) That is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 8. Extracting the root, indicated by r, of both... ## The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - 1874 - 418 σελίδες
...subtracting the logarithm of the divisor from that of the dividend. Dividing m = a* by n = 0", 562. The logarithm of any power of a number is equal to the product of the exponent of the power and the logarithm of the number. Kaising both members of the equation... ## Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - 1875 - 184 σελίδες
...12.234 : 87.5 X 3.7547 : : 56.5 : x, to find x. Ans. 2014.96. INVOLUTION BY LOGARITHMS. 22. Proposition. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Let (1) bz =и; then, by def., log n =x. (1)*=(2)... ## New University Algebra

Horatio Nelson Robinson - 1875 - 412 σελίδες
...= log. w. 771 By division, — = a" ; n therefore, log. I — ) = x — z = log. 7W — log. n. 5. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, let m=cf; then z = log. m. By involution,... ## Manual of Algebra

William Guy Peck - 1875 - 331 σελίδες
...have, aP* = mp; whence, by definition, px — Log mp; . . . . (7) hence, the following principle: 3°. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. If we extract any root of both members of (3),... ## Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876
...«logc" by def. Then raising each to the »ih power. a• = a-dogi«. .•. loga{«•} = n loga«. Or, the logarithm of any power of a number, is equal to the product of the logarithm of the number and the index of the power. 5. PEOP. To find the logarithm of... ## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1876 - 170 σελίδες
...member by member, we have .М_а^_ . N — a« Therefore, log f-^Л =x — y= log M — log Ж 11. The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take...