Let's simplify the logarithm to use the value given:
[tex]\begin{gathered} \ln(\sqrt[3]{18})=\ln(18^{\frac{1}{3}}) \\ =\frac{1}{3}\ln18 \\ =\frac{1}{3}\ln(9*2) \\ =\frac{1}{3}\lbrack\ln9+\ln2\rbrack \\ =\frac{1}{3}\lbrack\ln3^2+\ln2\rbrack \\ =\frac{1}{3}\lbrack2\ln3+\ln2\rbrack \\ =\frac{1}{3}\lbrack(2)(1.0986)+(0.6931)\rbrack \\ =0.9634 \end{gathered}[/tex]
Therefore:
[tex]\ln(\sqrt[3]{18})=0.9634[/tex]
