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Fundamental Laws of Logarithms

If log10 3=0....

Question

If $l o g_{10} 3 = 0.477$ , the number of digits in $3^{40}$ is

A

18

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B

19

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C

20

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D

21

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Solution

The correct option is C 20
$l o g y = 40 l o g 3 = 19.08$
$∴$ Number of digits in $y = 19 + 1 = 20$

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Similar questions

l o g_{10} 3 = 0.477

, the number of digits in

3^{40}

{log}_{10} 3 = 0.477

, the number of digits in

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l o g_{10} 2 = 0.30103, l o g_{10} 3 = 0.47712

, the number of digits in

3^{12} \times 2^{8}

{log}_{10} 2 = 0.3010

, find the number of digits in

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0.3 < {log}_{10} 2 < 0.30103

, then the number of digits in

2^{100}

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