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Discussion Response Post to: a theorem waiting to be prooved wrong

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2 Dec 2007 20:26:03 IST

Subject: Re:a theorem waiting to be prooved wrong

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rhd92781 (686)

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u reached 2²ⁱ= f^2i...fine

write it as,

e^{ln2^(2i)}= e^{lnf^(2i)}

this becomes

e^{2ln2 i} = e^{2lnf i}

now write it as

cos(2

ln2) + isin(2

ln2) = cos(2

lnf) + isin(2

lnf)

so u can equate

cos(2

ln2)=cos(2

lnf) n sin(2

ln2)=sin(2

lnf)

this will have infinite solns but we must take only valid solns

cos(2

ln2) = cos(2

lnf +/- 2n

)

write 2

ln2=2

lnf-2

ln2=lnf - 1

ln2=ln(f/e)

2=f/e

2e=f

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this reply: 10 points (with 2 Olaaa!! Perrrfect answer.

in 2 votes ) [?]

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