If 2=0.30103, the number of digits in 264 is

ABC26GN2095 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:

If $\log 2=0.30103$, the number of digits in $2^{64}$ is

(a)18

(b)19

(c)20

(d)21

Answer

Answer (as printed): C

Explanation

$\log \left(2^{64}\right)=64 \times \log 2=(64 \times 0.30103)=19.26592$. Its characteristic is 19. Hence, the number of digits in $2{ }^{64}$ is 20.

Explanation as extracted from the printed page; notation may be imperfect.