#algebra problem

57 messages · Page 1 of 1 (latest)

gaunt delta
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You have x what's the least amount of times you can multiply it to get x^100

white fossilBOT
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algebra problem

raven grotto
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You can multiply x by x^99 I guess?

little vine
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yeh thatd work, so one?

warm sedge
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I don’t think so

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Because how could you get x^99 ?

cunning elm
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1 i think

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1^100=1

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1^1=1

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Or am i being stupid

warm sedge
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I think you’re supposed to say that if you do it naively, you’ll do xxx….*x 100 times

cunning elm
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might be wrong tho

warm sedge
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But in a more efficient way you could calculate x^2 at first and do x^2 * x^2 * … * x^2 50 times. So now you did 51 multiplication instead of 100

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And again you can calculate x^2 * x^2 =x^4 and then do x^4 * … * x^4 25 times. And you are now down to doing 27 multiplications instead of 50 And you can continue like that

cunning elm
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true

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but do they mean for any x or best scenario x

warm sedge
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Clearly any x

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Not just 1

cunning elm
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Alright

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Then yours is the best

hollow knoll
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isnt the anss 99 ??

cunning elm
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No look in the chat what alexis said

hollow knoll
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nah man

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ccause then you arent mustliplying x

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but instead ur multiplying x^2

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which is not what teh question is asking

warm sedge
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Yes I agree but if it’s not what they mean their is no purpose to ask that question

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I think they are asking how you can get x^100 with the least amount of multiplication, starting by nowing just x

cunning elm
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The question is what is the least amount of times you can multiply X

hollow knoll
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then bruh just do it as
x.x.x.x = x^4 and then
X^4^25

well now the and is not even 50.. its less

warm sedge
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Well yeah that’s what I said

hollow knoll
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hmm.. got it... still the most efficient would be to stick to the rudimentary system and just go for 100

warm sedge
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You’ll get something like log_2(100) multiplication

warm sedge
cunning elm
hollow knoll
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-_-.... what did we just said

warm sedge
hollow knoll
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it can be reduced in as much ways as possible

cunning elm
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there will be a limit

hollow knoll
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what i said was in general

cunning elm
warm sedge
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Yeah but you got the idea

cunning elm
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true

warm sedge
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Of what @hollow knoll meant

hollow knoll
cunning elm
hollow knoll
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nvm man.. m good

cunning elm
# hollow knoll nvm man.. m good

Or im wrong and youre right it was just that when you said that you could do it as much as you want i thought that you meant not only in general

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BUt that there was infinity ways

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which is on me

humble anvil
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This question is rigged lmfao

sly edge
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.close unless you make this question clearer