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  3. Mathematics
  4. Consider the number N =2 log 4 2100. Now answer the following questions with exactly one appropriate alternative. If N is a 'p' digit number, then value of p is [Given log102 = 0.3010]

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Q. Consider the number $N =2^{\log _4 2^{100}}$.
Now answer the following questions with exactly one appropriate alternative.
If N is a 'p' digit number, then value of p is
[Given $\log_{10}2 = 0.3010$]

Continuity and Differentiability

Solution:

$ \log _{10} N =50 \log 2=(50)(0.301)=(5)(3.01)=15.05 $
Hence number of digits in $N =16$