Given, \(\displaystyle{{\log}_{{{10}}}{2}}={0.30103}\) ,then find the number of

diartrosiwk8o

diartrosiwk8o

Answered question

2022-03-24

Given, log102=0.30103 ,then find the number of digits in 256

Answer & Explanation

Jermaine Lam

Jermaine Lam

Beginner2022-03-25Added 11 answers

Given that 2=10log102, then 256=(10log102)56=1056log2.
Now simply substitute your given 0log2 into the equation:
256=1056×0.30103=1016.85768
Therefore it is clear your answer will be 16+1=17 digits.

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