Express the following logarithm as specified.
-$\ln \sqrt [ 3 ] { 4 }$ in terms of $\ln 2$
A) $\frac { 1 } { 3 } \ln 4$
B) $\frac { 3 } { 2 } \ln 2$
C) $6 \ln 2$
D) $\frac { 2 } { 3 } \ln 2$

Question

Quizplus · Accepted Answer

The expression $\ln \sqrt[3]{4}$ can be rewritten using logarithmic properties as $\frac{1}{3} \ln 4$. Since $4 = 2^2$, this further simplifies to $\frac{1}{3} \ln (2^2) = \frac{2}{3} \ln 2$, making option D correct.

Express the Following Logarithm as Specified ln⁡43\ln \sqrt [ 3 ] { 4 }ln34​

Express the Following Logarithm as Specified $\ln \sqrt [ 3 ] { 4 }$