Question

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

Answer 1

To find $\left[{\log }_{10}6730.4\right]$
We have ,
${10}^3<6730.40<{10}^4$
Take log with base 10
$\Rightarrow {\log }_{10}{10}^3<{\log }_{10}6730.40<{\log }_{10}{10}^4$
$\Rightarrow 3<{\log }_{10}6730.40<4$
$\Rightarrow \left[{\log }_{10}6730.40\right]=3$