Question

Match the following:
If $\log 2=0.3010$ and $\log 3=0.4771$ then find the values of

List-I		List-II
I	$\log 6$	P	1.0791
II	$\log 9$	Q	0.7781
III	$\log 12$	R	0.9542
		S	0.8214

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

Answer 1

Answer: (B)

I. $\log 6=\log (2\times 3)=\log 2+\log 3$
$=0.3010+0.4771=0.7781$
II. $\log 9=\log (3{)}^2=2\log 3=2(0.4771)$
$=0.9542$
III. $\log 12=\log (4\times 3)=\log \left(2^2\times 3\right)$
$=\log 2^2+\log 3=2\log 2+\log 3$
$=2(0.3010)+0.4771=1.0791$