## anonymous 5 years ago i need the step by step instructions please 11304 base6 divided by4 base 6

1. Owlfred

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2. amistre64

base 6; are these logs?

3. amistre64

$$\frac{\log_6(11304)}{\log_6(4)}$$ like this?

4. amistre64

if so its a change of base from: $log_4(11304)$

5. anonymous

if u convert base 6 to base 10 the answer is 406 base 10

6. amistre64

6.7323... ?

7. amistre64

oh i see.... it might be talking about number systems, like binary, octinary, geritolinary and those lol

8. anonymous

yes i think so

9. amistre64

it hard to tell with such scant information... but you could be right, and prolly are :)

10. anonymous

the correct answer is 1514 base6 but i need to know how to get there

11. amistre64

base 6: 46656 7776 1296 216 36 6 right?

12. amistre64

0 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23 24 25 30 31 32 33 34 ..........

13. anonymous

yes

14. anonymous

if you convert 1514 base 6 to base 10 it gives 1514 but how do you do thereverse

15. anonymous

it gives 406 i mean

16. amistre64

46656 7776 1296 216 36 6 1 is the key . .... 10000 1000 100 10 1 somehow lol

17. amistre64

6rt(11304) ??

18. amistre64

its between 7776 and 1296

19. anonymous

yea

20. amistre64

1*6^4 1^6^3 3^6^2 0*6^1 4*6^0 ??

21. amistre64

(1 * (6^4)) + (1 * (6^3)) + (3 * (6^2)) + (0 * (6^1)) + (4 * (6^0)) = 1 624

22. amistre64

and 4(6^0) = 4 lol

23. anonymous

this gives you its equivalent in base 19 which is 1604 and / 4 gives 406

24. amistre64

1624/4 = 406

25. anonymous

yeah - thats the answer in base 10

26. amistre64

/6^0? the /6^1 .. maybe?

27. anonymous

but i cant remember how yo convert this to bas e 6

28. amistre64

1296 216 36 6 1 406 - 216

29. anonymous

its 11304 base6 / 4 base6= 1514 base6 but how is it done

30. amistre64

n0000

31. anonymous

good question!!

32. amistre64

/216?

33. amistre64

1 + Remainder/36 + R/6 ??

34. amistre64

406/6^3 + R/6^2 +R/6 +R maybe?? R being the remainder

35. anonymous

yes i think u r on to it

36. amistre64

406/6^3 = 1 R.190 190/6^2 = 5 R.10 10/6^1 = 1 R.4

37. amistre64

4/6^0 = 4

38. anonymous

yep - well done

39. amistre64

i knew it had to be something lol

40. amistre64

throw stuff at it till it sticks :)

41. anonymous

i did this stuff many years ago when i did 'modern maths'

42. amistre64

yeah, I prolly did this back in finite math.... 15 years ago lol

43. anonymous

44. anonymous

1514 is wrong?

45. anonymous

i suppose it was a roundabout way to do it - the comversions to base 10 and back to 6 but im sure that 1514 base 6 is correct

46. anonymous

multiply 1514 base6 times 4 base 6

47. anonymous

right - it comes to 11304 base 6

48. anonymous

okay how is it divided

49. anonymous

don't forget u r dealing with base 6 here so when u multippy 4 x 4 it comes to 14 and carry 1 etc6 base 10 but this is 16/6 R 4 so u write

50. anonymous

4 and carry for the next multiplication

51. anonymous

well we naturally multiply using base 10 because thats what our nuber system is based on so it is easier (for me anyway) to convert to base 10 , perform the division in base 10 thenfinally convert back to base 6

52. anonymous

to summarise: 11304 - convert to base 6 working from rt to lft 4 X 6^0 = 4 0 x 6^1 = 0 3 x 6^2 = 108 1 x 6^3 = 216 1 x 6^4 = 1296 adding these up gives 1624 dividing by 4 gives 406 now converting 406 back to base 6 comes to 1514 as amis demonstrated above

53. anonymous

thanks

54. anonymous

ok