i need the step by step instructions please 11304 base6 divided by4 base 6

- anonymous

i need the step by step instructions please 11304 base6 divided by4 base 6

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- amistre64

base 6; are these logs?

- amistre64

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

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## More answers

- amistre64

if so its a change of base from:
\[log_4(11304)\]

- anonymous

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

- amistre64

6.7323... ?

- amistre64

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

- anonymous

yes i think so

- amistre64

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

- anonymous

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

- amistre64

base 6:
46656 7776 1296 216 36 6 right?

- amistre64

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

- anonymous

yes

- anonymous

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

- anonymous

it gives 406 i mean

- amistre64

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

- amistre64

6rt(11304) ??

- amistre64

its between 7776 and 1296

- anonymous

yea

- amistre64

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

- amistre64

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

- amistre64

and 4(6^0) = 4 lol

- anonymous

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

- amistre64

1624/4 = 406

- anonymous

yeah - thats the answer in base 10

- amistre64

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

- anonymous

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

- amistre64

1296 216 36 6 1
406 - 216

- anonymous

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

- amistre64

n0000

- anonymous

good question!!

- amistre64

/216?

- amistre64

1 + Remainder/36 + R/6 ??

- amistre64

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

- anonymous

yes i think u r on to it

- amistre64

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

- amistre64

4/6^0 = 4

- anonymous

yep - well done

- amistre64

i knew it had to be something lol

- amistre64

throw stuff at it till it sticks :)

- anonymous

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

- amistre64

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

- anonymous

those answers are wrong

- anonymous

1514 is wrong?

- 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

- anonymous

multiply 1514 base6 times 4 base 6

- anonymous

right - it comes to 11304 base 6

- anonymous

okay how is it divided

- 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

- anonymous

4 and carry for the next multiplication

- 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

- 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

- anonymous

thanks

- anonymous

ok

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