If ${log}_{10} 3 = 0.4771$ , then the number of zeros after the decimal in $3^{- 100}$ is

47

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Solution

The correct option is A $47$
The number of zeroes will be
$= | l o g_{10} (3^{- 100}) |$
$= | - 100 (l o g_{10} (3)) |$
$= | - 47.71 |$
$= 47.71$
Taking the integral part (since number of zeroes has to be an integer, there will be $47$ zeros.

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Similar questions

Q. If

l o g_{10} 3 = 0.4771

, then find the number of zeroes after the decimal in

3^{- 100}

Q. Given,

{log}_{10} 2 = 0.3010, {log}_{10} 3 = 0.4771

. The number of zeros after the decimal in

3^{- 100}

are

Q. Number of zeros after decimal before first significant digit in the number

(0. ¯ ¯ ¯ 3)^{10000}

is (approximate value of

{log}_{10} 3

0.4771

)

Q. Number of cyphers after decimal before a significant figure comes in

{(\begin{matrix} \frac{5}{3} \end{matrix})}^{- 100}

is
Note:

{log}_{10} 5 = 0.6990, {log}_{10} 3 = 0.4770

If P is non negative characteristics of $l o g_{10} N$ , then number of significant digit in N is $P + 1$ . If $- P$ is the negative characteristics of $l o g_{10} N$ , then the number of zeros after decimal before a significant digit start are $P - 1$ (Use $l o g_{10} 2 = 0.3010, l o g_{10} 3 = 0.4771$ ) On the bases of the above information, answer the following:

Number of significant digit in N, where $N = (\frac{5}{3})^{100},$ is

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If log103=0.4771, then the number of zeros after the decimal in 3−100 is

The correct option is A 47The number of zeroes will be =|log10(3−100)|=|−100(log10(3))|=|−47.71|=47.71Taking the integral part (since number of zeroes has to be an integer, there will be 47 zeros.

If ${log}_{10} 3 = 0.4771$ , then the number of zeros after the decimal in $3^{- 100}$ is

The correct option is A $47$
The number of zeroes will be
$= | l o g_{10} (3^{- 100}) |$
$= | - 100 (l o g_{10} (3)) |$
$= | - 47.71 |$
$= 47.71$
Taking the integral part (since number of zeroes has to be an integer, there will be $47$ zeros.