Answer:
Option B
Explanation:
$log(0.57)$ $=\overline{1}$$.756$
$\Rightarrow$ log 57 = 1.756 $\because$ [mantissa will remain the same].
$\therefore$ log 57 + log $(0.57)^{3}$ + log $\sqrt{0.57}$
= log 57 +3log $\left(\frac{57}{100}\right)$ + log $\left(\frac{57}{100}\right)^{1/2}$
= log 57 + 3log 57 - 3log 100 + $\frac{1}{2}$log 57 - $\frac{1}{2}$log 100
$=\frac{9}{2}$log 57 - $\frac{7}{2}$log 100
$=\frac{9}{2}\times 1.756$ $-\frac{7}{2}\times 2$
$=7.902-7$ = 0.902.
