ABC26GN2036 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: 2002 · Marks: · Difficulty:

The value of $\frac{6 \log _{10} 1000}{3 \log _{10} 100}$ is equal to
(a)0
(b)1
(c)2
(d)3
Answer
Answer (as printed): D
Explanation
$\frac{6 \log _{10} 1000}{3 \log _{10} 100}=\frac{6 \log _{10} 10^{3}}{3 \log _{10} 10^{2}}=\frac{6 \times 3 \log _{10} 10}{3 \times 2 \log _{10} 10}=\frac{18}{6}=3$.

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

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