[seqfan] Re: What is the base 36 log of 10077696?

[Peter Pein]

Am 19.04.2011 01:01, schrieb Alonso Del Arte:
> 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 says
> 3 / 2. I'm wondering if there is some subtlety I have missed, or if maybe
> machine precision makes some kind of difference here.
>
> Al
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>

I guess Mma does not try factoring for numbers > 10^6. If told so, it 
tries hard:

In[1]:= Log[36,10077696]//FullSimplify
Out[1]= 9/2

Cheers,
Peter