[seqfan] Re: What is the base 36 log of 10077696?
nastos at gmail.com
Tue Apr 19 01:18:27 CEST 2011
again, on Wolfram Alpha:
log_36(2^k * 3^k) evaluates perfectly to an integer for each even k,
while for odd k it evaluates to a proper fraction just in the k=3 case.
log_36(2^5 * 3^5) = log(7776) / log(36) = 2.499999999999999...
On Mon, Apr 18, 2011 at 4:13 PM, Jim Nastos <nastos at gmail.com> wrote:
> It is interesting behaviour... even in the online Wolfram Alpha:
> The exact value of your logarithm is reported as the quotient of logs, and
> its associated "approximate form" (i.e. floating point evaluation) displays
> as 4.499999999999999999999999999999...
> I am guessing that if a desired logarithm result is non-integer, a separate
> numerical subroutine is used.
> On Mon, Apr 18, 2011 at 4:01 PM, Alonso Del Arte <
> alonso.delarte at gmail.com> wrote:
>> What is the base 36 log of 10077696?
>> Mathematica says (ln 10077696) / (ln 36), which numerically evaluates
>> to 4.5, which then led me to try 36^(9 / 2), which indeed evaluates to
>> 10077696. In the much smaller example log_4 8, Mathematica unhesitantly
>> 3 / 2. I'm wondering if there is some subtlety I have missed, or if maybe
>> machine precision makes some kind of difference here.
>> Seqfan Mailing list - http://list.seqfan.eu/
More information about the SeqFan