(log ₅ 3) × (log ₃ 625) equals · ABC26GN2062

Subject: General Aptitude · Chapter: Logarithms

$\left(\log _{5} 3\right) \times\left(\log _{3} 625\right)$ 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.

Study loop for Logarithms

1. Practise the PYQsPrevious-year questions, with answers

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