Game of 4 4's

Guest · Post by **Guest** » Fri Sep 02, 2005 3:15 pm

43=44-4/4

golfinha · Post by **golfinha** » Fri Sep 02, 2005 3:17 pm

44=4!+4!-SRQT4-SRQT4 = 44-4+4

golfinha · Post by **golfinha** » Fri Sep 02, 2005 3:18 pm

45=44+4/4

golfinha · Post by **golfinha** » Fri Sep 02, 2005 3:19 pm

46=4!+4!-4+SQRT4

Craft · Post by **Craft** » Fri Sep 02, 2005 5:50 pm

golfinha wrote:Here goes a summary of the 4 4's game:

Nice

. I was planning to make a summary myself, but you were more energetic than I.

Btw, 13 was on page 2 (in the same message as 24):
13 = 4!/sqrt4 + 4/4.

And 33 hasn't really been solved yet, because the proposed solution contains number i.

magpie · Post by **magpie** » Fri Sep 02, 2005 5:57 pm

Craft wrote: I believe using operator 'log' generally means the same as 'log10', so 'log' could be used but only meaning 'log10'. Notation 'ln' means the e-based logarithm. Other logarithms need the base to be written, ....

ld (x) is commenly used for log2

Craft · Post by **Craft** » Fri Sep 02, 2005 6:03 pm

magpie wrote:
Craft wrote: I believe using operator 'log' generally means the same as 'log10', so 'log' could be used but only meaning 'log10'. Notation 'ln' means the e-based logarithm. Other logarithms need the base to be written, ....
ld (x) is commenly used for log2

Oh, I've never seen that... I think some of the notations vary by country. Once I looked at a Russian math book, and it seemed to have slightly different notations than I was used to see. Furthermore, Finnish math books sometimes have different notations from English/American ones.

And I must correct myself about my message above: I think log10 is commonly abbreviated 'lg', not 'log' as I claimed.

lazza · Post by **lazza** » Fri Sep 02, 2005 6:13 pm

47 = 4! + 4! - (4/4)

lazza · Post by **lazza** » Fri Sep 02, 2005 6:16 pm

I had a really good one for 45 !!!

magpie · Post by **magpie** » Fri Sep 02, 2005 6:19 pm

Craft wrote:
magpie wrote:
Craft wrote: I believe using operator 'log' generally means the same as 'log10', so 'log' could be used but only meaning 'log10'. Notation 'ln' means the e-based logarithm. Other logarithms need the base to be written, ....
ld (x) is commenly used for log2
Oh, I've never seen that... I think some of the notations vary by country. Once I looked at a Russian math book, and it seemed to have slightly different notations than I was used to see. Furthermore, Finnish math books sometimes have different notations from English/American ones.

And I must correct myself about my message above: I think log10 is commonly abbreviated 'lg', not 'log' as I claimed.

ld comes from "logarithmus dualis". This seems to have a latin origin. I've seen log and lg for log10. You can even find log for log_e.

lazza · Post by **lazza** » Fri Sep 02, 2005 6:22 pm

48 = 4! + 4! + 4 - 4

magpie · Post by **magpie** » Fri Sep 02, 2005 6:39 pm

golfinha wrote:Here goes a summary of the 4 4's game:
38 = 4!+4x4-SQRT(2)
There are already 5 missing

38 = 4!+4x4-SQRT(4)

magpie · Post by **magpie** » Fri Sep 02, 2005 6:43 pm

49 = 4! * Sqrt(4) + 4/4

lazza · Post by **lazza** » Fri Sep 02, 2005 6:46 pm

50 = 44 + 4 + sqrt4

magpie · Post by **magpie** » Fri Sep 02, 2005 6:48 pm

50 = Sqrt(4)*(4!+4/4)

lazza was quicker, but you can make 52 out if it easily:

52 = Sqrt(4)*(4!+4/Sqrt(4))

51 = 4! * Sqrt(4) + ld(4+4)