 | Dionysius Lardner - 1828 - 434 pàgines
...also, nm = B'<" ', v^ Hence l(nm) = mln, lmJn— — . in Whence we have the following rule : " The logarithm of any power of a number is obtained by multiplying the logarithm of the number by the exponent of the power ; and the logarithm of any root of a number is obtained by... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pàgines
...log«. na* n ' Hence log — = log 1 - logm = - logm, since log 1 = 0. m (iii) Logm" = n log»z, or the logarithm of any power of a number is obtained by multiplying the logarithm of the number by the iadex of the power. For m" = (a*)" = a"*, and л log(m") = nx - n logm. As the index... | |
 | Joseph Henry Whitwam - 1920 - 456 pàgines
...is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend. III. The Logarithm of any power of a number is obtained by multiplying the logarithm of the number by the index of the power. IV. The Logarithm of any root of a number is obtained by dividing... | |
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Log?ft n — n logm, or the logarithm of any power of a number is obtained by multiplying the logarithm of the number by the index of the power. For r?2 n —( a*)" ==«"*, and .*. log(m n ) = nz=n logm. 