 | Elias Loomis - 1846 - 380 sider
...Thus, if a be the base of a system of logarithms, and a2 = N, then 2 is the logarithm of N ; that is, 2 is the exponent of the power to which the base (a) must be raised to equal N. If a3 — N', then 3 is the logarithm of N' for the same reason ; And if a"; = N", then a; is called... | |
 | Elias Loomis - 1846 - 376 sider
...Thus, if a be the base of a system of logarithms, and a? = N, then 2 is the logarithm of N ; that is, 2 is the exponent of the power to which the base (a) must be raised to equal N. If a3 = N', then 3 is the logarithm of N' for the same reason ; And if a* = N", then x is called... | |
 | Elias Loomis - 1855 - 356 sider
...Thus, if a be the base of a system of logarithms, and <z*=N, then 2 is the logarithm of N ; that is, 2 is the exponent of the power to which the base (a) must be raised to equal N. If a'=N', then 3 is the logarithm of N' for the same reason ; and if «f*=N", then x is called the... | |
 | Webster Wells - 1880 - 498 sider
...raised to equal the quantity. For example, if a1 = m, x is the exponent of the power to which the hase, a, must be raised to equal the quantity, m; or, x is the logarithm of ?» to the base a ; which is briefly expressed thus : x = log,, m. 445. If a remain fixed, and m receive... | |
 | Webster Wells - 1883 - 234 sider
...given base is the exponent of the power to which the base must be raised to equal the quantity. Thus, if ax= m, x is the exponent of the power to which the base a must be raised to equal the quantity m ; that is, x is the logarithm of m to the base a ; which is briefly expressed 85. To illustrate, suppose... | |
 | Webster Wells - 1883 - 298 sider
...is the exponent of the power to which the base must be raised to equal the quantity. Thus, if a•= m, x is the exponent of the power to which the base a must be raised to equal the quantity m ; that is. x is the logarithm of m to the base a ; which is briefly expressed к =• logam. 85. To... | |
 | Ernest Julius Wilczynski - 1914 - 296 sider
...now ready to define a logarithm. The logarithm of any positive number N, with respect to the base a, is the exponent of the power to which the base a must be raised in order to obtain the number N.* In other words, if az = N, we say that x (the exponent) is the logarithm... | |
 | Herbert Ellsworth Slaught - 1914 - 296 sider
...now ready to define a logarithm. The logarithm of any positive number N, with respect to the base a, is the exponent of the power to which the base a must be •raised in order to obtain the number N. * In other words, if ax = N, we say that x (the exponent) is the logarithm... | |
 | Herbert Ellsworth Slaught - 1914 - 400 sider
...ready to define a logarithm. The logarithm of any positive number N, with respect to the base o, te the exponent of the power to which the base a must be raised in order to obtain the number N. * In other words, if a* = N, we say that x (the exponent) is the logarithm... | |
 | Ernest Julius Wilczynski - 1916 - 542 sider
...follows : (2) x = logay. Thus, the logarithm of a positive number y, with respect to a given base a, is the exponent of the power to which the base a must be raised in order to obtain the number y. It should be noted that we have defined the logarithms of positive... | |
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... some one number, arbitrarily assumed, which is called the base of the system ; and the exponent of that power of the base which is equal to any given number is called the logarithm ofthat number. Thus, if a be the base of a system of logarithms, and... 
