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Bøker Bok 3140 av 40The 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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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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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1857 - 448 sider
...have, I0m = Jf (1) 10" = ^ (2). Multiplying equations (1) and (2), member by member, we have, 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, , , Jf J/ 10m~"...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1860 - 299 sider
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1861 - 303 sider
...the exponent bj m, what will represent the corresponding number ? What is the logarithm of a number i The sum of the logarithms of any two numbers is equal to >ke logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1864 - 299 sider
...what will represent the corresponding number ? What ¡3 the logarithm of я number ? УЛе виетг 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 tlieir numbers,...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1867 - 299 sider
...logarithms of any two numbers equalf To what, then, will the addition < f logarithms correspond ? 2'he sum of the logarithms of any two numbers is equal to the logarithm of th-eir product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers....
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Elementary Algebra

Charles Davies - 1867 - 303 sider
...the exponent by m, what will represent the corresponding number ? What is the logarithm of a number 1 The sum of the logarithms of any two numbers is equal to 'he logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication...
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Elements of Geometry and Trigonometry

C. Davies - 1867
...Multiplying equations (1) and (2), member by member, we have 10m*° = MxN or, m+n — log MxN : hence, The sum of the logarithms of any two numbers is equal to tJ1e logarithm of their productDividing equation (1) by equation (2), member by member, we have ™-....
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Elements of Geometry and Trigonometry: With Applications in Mensuration

1870 - 319 sider
...Multiplying equations (1) and (2), member by member, we bave lo"*" = MxN or, m+n = log MxN: hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Dividing equation (1) by equation (2), member by member, we have n »-. M ,.-*•, 10...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - 1891 - 294 sider
...10" = lO""1"1 = MxN. But, since 10 is the base of the system, m -f- n is the logarithm of MX N. 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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