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Find the no. of ciphers there are betwee...

Find the no. of ciphers there are between decimal point and first significant digit is `(1/2)^1000`

Text Solution

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let `y= (1/2)^1000`
`log y = 1000 log (1/2)`
as `log a^n = nloga`
`log y = 1000 ( log 1 - log 2)`
`= 1000(0-.30102)`
`log y = -301.02`
ciphers = `301`(after decimal)
answer
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