Sujet : Re: Log (base 2) of 3 -- (without a Calculator)
De : jerry.friedman99 (at) *nospam* gmail.com (jerryfriedman)
Groupes : rec.puzzles alt.usage.englishDate : 19. Nov 2024, 23:51:39
Autres entêtes
Organisation : novaBBS
Message-ID : <1c945d5b40bb60fb5a27dca42ea9629f@www.novabbs.com>
References : 1 2 3 4
User-Agent : Rocksolid Light
On Tue, 19 Nov 2024 19:47:00 +0000, Richard Tobin wrote:
In article <97e7e6fb078310c8d4d600c247847957@www.novabbs.com>,
HenHanna <HenHanna@dev.null> wrote:
>
i wonder if there's a way to get better (and better) approximations.
>
Look for more powers of 2 near to powers of 3.
>
For example,
>
3^7 (= 2187) > 2^11 (= 2048), so 3 > 2^(11/7), so log2(3) > 11/7 =
1.571+
3^10 (= 59049) < 2^16 (= 65536), so 3 < 2^(16/10), so log2(3) < 10/6 =
1.6
>
3^12 is very close to 2^19, so log2(3) is very close to 19/12 = 1.583+
Good to see you in a.u.e., Richard!
-- Jerry Friedman-- 
Re: Log (base 2) of 3 -- (without a Calculator)
Re: Log (base 2) of 3 -- (without a Calculator)