If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
- \(\overline{4}\).1986
- \(\overline{2}\).9250
- \(\overline{1}\).5917
-
\(\overline{1}\).075
The correct answer is: D
Explanation
Log(0.0005957)\(^{\frac{1}{3}}\)
= Log(\(\frac{5.957}{10000})^{\frac{1}{3}}\)
= \(\frac{1}{3}\)Log(5.957) - \(\frac{1}{3}\)Log10\(^4\)
= \(\frac{0.7750}{3}\) - \(\frac{4}{3}\) =\(\frac{\overline3.225}{3}\) = \(\overline{1}\).075