ABC26GN2062 · Logarithms

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

$\left(\log _{5} 3\right) \times\left(\log _{3} 625\right)$ equals
(a)1
(b)2
(c)3
(d)4
Answer
Answer (as printed): D
Explanation
Given expression $$=\left(\frac{\log 3}{\log 5} \times \frac{\log 625}{\log 3}\right)=\frac{\log 625}{\log 5}=\frac{\log \left(5^{4}\right)}{\log 5}=\frac{4 \log 5}{\log 5}=4 .$$

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

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