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]

Question

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] (A) 14 (B) 15 (C) 16 (D) 17

Tardigrade Admin · Accepted Answer

log 10 N =50 log 2=(50)(0.301)=(5)(3.01)=15.05 Hence number of digits in N =16

Q. Consider the number $N = 2^{l o g_{4} 2^{100}}$ .
Now answer the following questions with exactly one appropriate alternative.
If N is a 'p' digit number, then value of p is
[Given $lo g_{10} 2 = 0.3010$ ]

14

15

16

17

$lo g_{10} N = 50 lo g 2 = (50) (0.301) = (5) (3.01) = 15.05$
Hence number of digits in $N = 16$

Q. Consider the number N=2log4​2100. Now answer the following questions with exactly one appropriate alternative. If N is a 'p' digit number, then value of p is [Given log10​2=0.3010]

14

15

16

17

log10​N=50log2=(50)(0.301)=(5)(3.01)=15.05 Hence number of digits in N=16

Q. Consider the number $N = 2^{l o g_{4} 2^{100}}$ .
Now answer the following questions with exactly one appropriate alternative.
If N is a 'p' digit number, then value of p is
[Given $lo g_{10} 2 = 0.3010$ ]

$lo g_{10} N = 50 lo g 2 = (50) (0.301) = (5) (3.01) = 15.05$
Hence number of digits in $N = 16$