If $$a = {b^2} = {c^3} = {d^4},$$then the value of$${\log _a}\left( {abcd} \right)$$would be -

${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$

${\log _a}1 + {\log _a}2 + {\log _a}3 + {\log _a}4$$

${\text{1 + }}\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$$

If $$a = {b^2} = {c^3} = {d^4},$$then the value of$${\log _a}\left( {a

1.	If $$a = {b^2} = {c^3} = {d^4},$$then the value of$${\log _a}\left( {abcd} \right)$$would be -
A.	${\log _a}1 + {\log _a}2 + {\log _a}3 + {\log _a}4$$
B.	${\log _a}24$$
C.	${\text{1 + }}\frac{1}{2} + \frac{1}{3} + \frac{1}{4}$$
D.	${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$
Answer» D. ${\text{1 + }}\frac{1}{{2!}} + \frac{1}{{3!}} + \frac{1}{{4!}}$$