Question

The value of $\log \left[a\right]\left[b\right]-\log \left[b\right]$ (where $[.]$ denotes greatest integer function) is equal to

• A. $\log a$
• B. $\log \left[a\right]$
• C. $-\log a$
• D. none of these

Answer 1

Answer: (B)

$\log \left[a\right]$

$\log \left[a\right]\left[b\right]-\log \left[b\right]$
$=\log \left[a\right]+\log \left[b\right]-\log \left[b\right]$, $(\because \log (xy)=\log x+\log y)$
$=\log \left[a\right]$