Find the number of digits in 8 power 2018, if log2 base 10 equal to 0.3010
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The number of digits in 8 power 2018, if log2 base 10 equal to 0.3010 is 4.
Given,
8^ {2018}
taking log_{10} we get,
using log properties, we get,
2018 log_{10} 8
as 8 = 2^3, we have,
2018 log_{10} 2^3
3 × 2018 log_{10} 2
as given, log2 base 10 equal to 0.3010, we have,
3 × 2018 × log_{10} 2
3 × 2018 × 0.3010
1822.2
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