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Question Number 46576 by Tawa1 last updated on 28/Oct/18

Please any note on how to find the first digit, first two digit and first three digits of any power

$$\mathrm{Please}\:\mathrm{any}\:\mathrm{note}\:\mathrm{on}\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{the}\:\mathrm{first}\:\mathrm{digit},\:\mathrm{first}\:\mathrm{two}\:\mathrm{digit}\:\mathrm{and}\:\mathrm{first}\:\mathrm{three}\:\mathrm{digits} \\ $$$$\mathrm{of}\:\mathrm{any}\:\mathrm{power} \\ $$

Commented by hassentimol last updated on 30/Oct/18

I′m not sure at all but I think that, according to what I know, the only way is to work out, to calculate the entire exponentiation. I don′t think there is other way which let know the first(s) digit(s) of a power !

$$ \\ $$$$\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{sure}\:\mathrm{at}\:\mathrm{all}\:\mathrm{but}\:\mathrm{I}\:\mathrm{think}\:\mathrm{that},\:\mathrm{according} \\ $$$$\mathrm{to}\:\mathrm{what}\:\mathrm{I}\:\mathrm{know},\:\mathrm{the}\:\mathrm{only}\:\mathrm{way}\:\mathrm{is}\:\mathrm{to}\:\mathrm{work}\:\mathrm{out},\: \\ $$$$\mathrm{to}\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{entire}\:\mathrm{exponentiation}. \\ $$$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{there}\:\mathrm{is}\:\mathrm{other}\:\mathrm{way}\:\mathrm{which}\:\mathrm{let}\: \\ $$$$\mathrm{know}\:\mathrm{the}\:\mathrm{first}\left(\mathrm{s}\right)\:\mathrm{digit}\left(\mathrm{s}\right)\:\mathrm{of}\:\mathrm{a}\:\mathrm{power}\:! \\ $$

Commented by Tawa1 last updated on 30/Oct/18

God bless you sir

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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