QuestionExpress $\ln \sqrt[3]{54}$ in terms of $\ln 2$ and/or $\ln 3$. $\ln \sqrt[3]{54}=$ $\square$ (Type an exact answer.)

Studdy Solution
Substitute back into the expression from Step 1:
$\frac{1}{3} \ln 54 = \frac{1}{3} (\ln 2 + 3 \ln 3)$
Distribute the $\frac{1}{3}$:
$= \frac{1}{3} \ln 2 + \ln 3$
Thus, the expression $\ln \sqrt[3]{54}$ in terms of $\ln 2$ and $\ln 3$ is:
$\boxed{\frac{1}{3} \ln 2 + \ln 3}$