power of an integer
If , then ; in particular, if is a prime power, , then . This observation explains why the term “power” is used for this concept. At the same time, it is worth pointing out that, in general, the power of an integer will not itself be an integer. For instance,
Note that it doesn’t matter what base one uses to compute the logarithm (as long as one uses the same base to compute the logarithm on the numerator and in the denominator!) because, upon changing base, both numerator and denominator will be multiplied by the same factor.
|Title||power of an integer|
|Date of creation||2013-03-22 14:22:17|
|Last modified on||2013-03-22 14:22:17|
|Last modified by||rspuzio (6075)|