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Given that log(2)=0. 3010 , the number ...

Given that `log(2)=0. 3010 ,` the number of digits in the number `2000^(2000)` is 6601 (b) 6602 (c) 6603 (d) 6604

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`log_10^2=0.3010`
`2000log2000`
`2000(log_10^2+log_10^(10^3))`
`2000(0.3010+3)`
`2000(3.3010)`
`6602.0`.
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