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Question

Given that log102=0.3010, the number of digits in the number 20002000 is

A
6600
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B
6603
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C
6543
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D
2345
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Solution

The correct option is B 6603
Let x=20002000
log10x=2000log102000
log10x=2000log10(2×1000)
log10x=2000(log102+log101000)
log10x=2000(0.3010+3)
log10x=2000(3.3010)=6602

Number of digits=6603

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