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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

1.69897

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B

0.69897

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C

2.30103

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D

2.69897

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Solution

The correct option is A
1.69897

$l o g_{10} 50$

$= l o g_{10} \frac{100}{2}$

$= l o g_{10} 10^{2} - l o g_{10} 2$

$= 2 l o g_{10} 10 - l o g_{10} 2$

$= 2 (1) - l o g_{10} 2$

$= 2 - 0.30103 = 1.69897$

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Similar questions

l o g_{10} 2 = 0.30103

, then what is the value of

l o g_{10} 50 =

l o g_{10} 2 = 0.30103

, then find the value of

l o g_{10} 50.

[2 Marks]

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

l o g_{10} 2 = 0.3010

l o g_{10}

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