WAEC - Mathematics (2014 - No. 32)

If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)
\(\overline{4}\).1986
\(\overline{2}\).9250
\(\overline{1}\).5917
\(\overline{1}\).075

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

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