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If log10 2 ...

Question

If $l o g_{10} 2 = 0.3010$ , the value of $l o g_{10}$ 80 is

A

1.602

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B

1.903

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C

3.903

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D

None of these

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Solution

The correct option is B 1.903
$l o g_{10} 80 = l o g_{10} (8 \times 10)$
$= l o g_{10} 8 + l o g_{10} 10$
$= l o g_{10} (2^{3}) + 1$
$= 3 l o g_{10} 2 + 1$
$= (3 \times 0.3010) + 1$
$= 1.9030$

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