anonymous
  • anonymous
i need the step by step instructions please 11304 base6 divided by4 base 6
Mathematics
jamiebookeater
  • jamiebookeater
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Owlfred
  • Owlfred
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amistre64
  • amistre64
base 6; are these logs?
amistre64
  • amistre64
\(\frac{\log_6(11304)}{\log_6(4)}\) like this?

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amistre64
  • amistre64
if so its a change of base from: \[log_4(11304)\]
anonymous
  • anonymous
if u convert base 6 to base 10 the answer is 406 base 10
amistre64
  • amistre64
6.7323... ?
amistre64
  • amistre64
oh i see.... it might be talking about number systems, like binary, octinary, geritolinary and those lol
anonymous
  • anonymous
yes i think so
amistre64
  • amistre64
it hard to tell with such scant information... but you could be right, and prolly are :)
anonymous
  • anonymous
the correct answer is 1514 base6 but i need to know how to get there
amistre64
  • amistre64
base 6: 46656 7776 1296 216 36 6 right?
amistre64
  • 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
  • anonymous
yes
anonymous
  • anonymous
if you convert 1514 base 6 to base 10 it gives 1514 but how do you do thereverse
anonymous
  • anonymous
it gives 406 i mean
amistre64
  • amistre64
46656 7776 1296 216 36 6 1 is the key . .... 10000 1000 100 10 1 somehow lol
amistre64
  • amistre64
6rt(11304) ??
amistre64
  • amistre64
its between 7776 and 1296
anonymous
  • anonymous
yea
amistre64
  • amistre64
1*6^4 1^6^3 3^6^2 0*6^1 4*6^0 ??
amistre64
  • amistre64
(1 * (6^4)) + (1 * (6^3)) + (3 * (6^2)) + (0 * (6^1)) + (4 * (6^0)) = 1 624
amistre64
  • amistre64
and 4(6^0) = 4 lol
anonymous
  • anonymous
this gives you its equivalent in base 19 which is 1604 and / 4 gives 406
amistre64
  • amistre64
1624/4 = 406
anonymous
  • anonymous
yeah - thats the answer in base 10
amistre64
  • amistre64
/6^0? the /6^1 .. maybe?
anonymous
  • anonymous
but i cant remember how yo convert this to bas e 6
amistre64
  • amistre64
1296 216 36 6 1 406 - 216
anonymous
  • anonymous
its 11304 base6 / 4 base6= 1514 base6 but how is it done
amistre64
  • amistre64
n0000
anonymous
  • anonymous
good question!!
amistre64
  • amistre64
/216?
amistre64
  • amistre64
1 + Remainder/36 + R/6 ??
amistre64
  • amistre64
406/6^3 + R/6^2 +R/6 +R maybe?? R being the remainder
anonymous
  • anonymous
yes i think u r on to it
amistre64
  • amistre64
406/6^3 = 1 R.190 190/6^2 = 5 R.10 10/6^1 = 1 R.4
amistre64
  • amistre64
4/6^0 = 4
anonymous
  • anonymous
yep - well done
amistre64
  • amistre64
i knew it had to be something lol
amistre64
  • amistre64
throw stuff at it till it sticks :)
anonymous
  • anonymous
i did this stuff many years ago when i did 'modern maths'
amistre64
  • amistre64
yeah, I prolly did this back in finite math.... 15 years ago lol
anonymous
  • anonymous
those answers are wrong
anonymous
  • anonymous
1514 is wrong?
anonymous
  • 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
  • anonymous
multiply 1514 base6 times 4 base 6
anonymous
  • anonymous
right - it comes to 11304 base 6
anonymous
  • anonymous
okay how is it divided
anonymous
  • 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
  • anonymous
4 and carry for the next multiplication
anonymous
  • 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
  • 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
  • anonymous
thanks
anonymous
  • anonymous
ok

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