(log ₅ 5) (log ₄ 9) (log ₃ 2) is equal to · ABC26GN2063
Subject: General Aptitude · Chapter: Logarithms
$\left(\log _{5} 5\right)\left(\log _{4} 9\right)\left(\log _{3} 2\right)$ is equal to
(a)1
(b)$\frac{3}{2}$
(c)2
(d)5
Answer
Explanation
Given expression $$=\frac{\log 9}{\log 4} \times \frac{\log 2}{\log 3}=\frac{\log 3^{2}}{\log 2^{2}} \times \frac{\log 2}{\log 3}=\frac{2 \log 3}{2 \log 2} \times \frac{\log 2}{\log 3}=1 . \left[\therefore \log _{5} 5=1\right]$$
Explanation as extracted from the printed page; notation may be imperfect.
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