ABC26GN2044 · Logarithms

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

$\log 360$ 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

Answer (as printed): D

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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