If 10 2=0.3010, then 2 10 is equal to

ABC26GN2083 · Logarithms

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

If $\log _{10} 2=0.3010$, then $\log _{2} 10$ is equal to

(a)$\frac{699}{301}$

(b)$\frac{1000}{301}$

(c)0.3010

(d)0.6990

Answer

Answer (as printed): B

Explanation

$\log _{2} 10=\frac{1}{\log _{10} 2}=\frac{1}{0.3010}=\frac{10000}{3010}=\frac{1000}{301}$.

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