log 360 is equal to · ABC26GN2044
Subject: General Aptitude · Chapter: Logarithms
$\log 360$ is equal to
(a)$2 \log 2+3 \log 3$
(b)$3 \log 2+2 \log 3$
(c)$3 \log 2+2 \log 3-\log 5$
(d)$3 \log 2+2 \log 3+\log 5$
Answer
Explanation
$360=(2 \times 2 \times 2) \times(3 \times 3) \times 5$. So, $\log 360=\log \left(2^{3} \times 3^{2} \times 5\right)=\log 2^{3}+\log 3^{2}+\log$ $$5=3 \log 2+2 \log 3+\log 5 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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