Question

Choose the correct pair among the choices given below

Column - I		Column - II
I	$\log 120$	P	$\log 3+\log 7+\log 8$
II	$\log 504$	Q	$\log 2+\log 3+\log 5$
III	$\log 120$	R	$\log 7+\log 8+\log 6$
		S	$3 \log 2+\log 3+\log 5$

• A. $I - R$
• B. $II-P$
• C. $III-Q$
• D. $I - S$

Answer 1

Answer: (D)

$ \log 120 =\log (2^3 \times 3 \times 5) $
$ =\log 2^3+\log 3+\log 5 $
$ =3 \log 2+\log 3+\log 5 $
$ \log (504) =\log (7 \times 8 \times 3^2) $
$ =2 \log 3+\log 7+\log 8 $
$ \log 108 =\log (2^2 \times 3^3) $
$ =2 \log 2+3 \log 3$