Question

If ${\log }_4{\log }_3{\log }_{2}x$ vanishes, then the characteristic of the logarithm of 1000 to the base $x$, is

• A. 5
• B. 4
• C. 3
• D. 2

Answer 1

Answer: (C)

$x=8\Rightarrow {\log }_{8}1000={\log }_{2}10$
$\therefore$ Characteristic is 3.