If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
A
\(\overline{4}\).1986
B
\(\overline{2}\).9250
C
\(\overline{1}\).5917
D
\(\overline{1}\).075
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36991)