Question

If $\left[x\right]$ denotes the greatest integer less than or equal to $x$, then $\left[{\log }_{10}6730.4\right]$ is equal to

• A. $6$
• B. $4$
• C. $5$
• D. none of these

Answer 1

The correct option is D none of these

We know $1000<6730.4<10000$
Taking log on base 10.
$\log {10}^3<\log 6730.4<\log {10}^4$
$\Rightarrow 3<\log 6730.4<4$
$\therefore \left[{\log }_{10}6730.4\right]=3$