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If $\log_{10} 2 = 0.3010$ , then the number of digits in $2^{10}$ is

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Detailed Solution

$\log_{10} 2 = 0.3.10$

Let $k = 2^{10}$

$\log k = \log 2^{10} = 10 \log 2 = 10 \times (0.3010)$

$= 3.010$

$∴$ Number of digits is 4.

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