| 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... | |
| 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~"... | |
| 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.... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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... | |
| 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 ™-.... | |
| 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... | |
| 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.... | |
| |