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Bøker Bok 2130 av 37The sum of the logarithms of any two numbers is equal to the logarithm of their product....
" The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers. "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Side 41
av Thomas Simpson - 1748 - 77 sider
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839
...be convenient to establish the following characteristic properties of logarithms. (141.) THEOREM 1. The sum of the logarithms of any two numbers is equal to the logarithm of their product. Let b be any number, and let its logarithm be x ; and let с be any other number, whose...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 261 sider
...member by member, we have but since a is the base of the system, ro+n is the logarithm ^/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers....
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Elements of Surveying, and Navigation, with a Description of the Instruments ...

Charles Davies - 1841 - 359 sider
...member by member, we have but since a is the base of the system, m+n is the logarithm JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers....
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 258 sider
...the logarithms of any two numbers equal ? To what then, will the addition of logarithms) correspond ? The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers....
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An introduction to the differential and integral Calculus

James Thomson - 1848
...logarithms of numbers are other numbers depending on them, and characterized by the property, that the sum of the logarithms of any two numbers is equal to the logarithm of their product. Thus, log 6+log c=log (6c). Hence also, since b=-.c, it follows, that c log6=log-+logc;...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848
...the logarithms of any two numbers equal ? To what then, will the addition of logarithms correspond ? The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers....
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An introduction to algebra, and to the solution of numerical equations

John Radford Young - 1851
...as we shall see when a few obvious propositions in the theory of logarithms are stated. 1 1 7. Tne sum of the logarithms of any two numbers is equal to the logarithm of their product. Let a* = n, and a'—n' .: aI+•'=nn'; therefore, if a be the base of the system of...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...shall have, Multiplying equations (1) and (2), member by member, we have, or, m + n=log (Mx N); hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. 4. Dividing equation (1) by equation (2), member by member, we have, mn MM 10 -=_r~0r,...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...Multiplying equations (1) and (2), member by member, we have, 10m+ n = Mx N or,m + n=log (Mx N) ; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. 4. Dividing equation (1) by equation (2), member by member, we have, JO™ »BB_OTjW_Wesi0g—...
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

Charles Davies - 1854 - 322 sider
...Multiplying equations (1) and (2), member by member, we have, Wm + n = MxN OT,m + n=log(MxN); hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. 4. Dividing equation (1) by equation (2), member by member, we have, 10m~n = -^or, m...
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