Math, asked by khadir78624, 10 months ago

Find the number of digits in 8 power 2018, if log2 base 10 equal to 0.3010

Answers

Answered by AditiHegde
3

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

Answered by krishnasatyaagencies
1

Answer:

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