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Fundamental Laws of Logarithms

If log10 2=0....

Question

If $l o g_{10} 2 = 0.30103, l o g_{10} 3 = 0.47712$ , the number of digits in $3^{12} \times 2^{8}$ is

A

7

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B

8

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C

9

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D

10

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Solution

The correct option is C 9
log y=12 log 3+8 log 2=8.13368

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Similar questions

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

, the number of digits in

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

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

, then the number of digits in

2^{100}

l o g_{10} 2 = 0.30103

l o g_{10} 50 =

{log}_{10} 2 = 0.3103, {log}_{10} 3 = 0.47712

, then find the number of digits in

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

l o g_{10} 3 = 0.477

, the number of digits in

3^{40}

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