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Fundamental Laws of Logarithms

If log10 2=0....

Question

If $l o g_{10} 2 = 0.30103$ , then $l o g_{10} 50 =$

A

2.30103

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B

2.69897

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C

1.69897

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D

0.69897

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Solution

The correct option is C 1.69897
$l o g_{10} 50 = l o g_{10} \frac{100}{2}$
$= l o g_{10} 10^{2} - l o g_{10} 2$
$= 2 l o g_{10} 10 - l o g_{10} 2 = 2 - (0.30103)$

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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}

{log}_{10} 2 = 0.3010

{log}_{10} 50

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

, then the number of digits in

2^{100}

l o g_{10} 2 = 0.3010

l o g_{10}

{log}_{10} 2 = 0.3010

{log}_{10} 3 = 0.4771

, then find the approximate value of

{log}_{10} 192

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