How to find $\sqrt[3]{0.5964}$ using logarithms?

Question

\begin{align*} \sqrt[3]{0.5964} &= \left(0.5964\right)^{\frac{1}{3}}\\ \log \sqrt[3]{0.5964} &= \frac{1}{3} \log 0.5964\\ &= \frac{1}{3} \cdot\overline{1}.7755\\ &= \frac{1}{3}\cdot\left(\overline{3} +2.7755\right)\\ &= \overline{1}.9252 \end{align*}

Can anyone explain what happened in line 4

Many Thanks

Answer 1

My guess is that $$\overline{1}.7755=-1+0.7755=-3+2.7755$$ Then divide by $3$ to get $$-1+0.9252=\overline{1}.9252$$ This is a way of keeping a positive mantissa.