Solve for x: $$2 \ln x - \frac { 1 } { 3 } \ln x ^ { 2 } = 4$$
A) x = e
B) $x = e ^ { 3 }$
C) $x = e ^ { 4 }$
D) $x = e ^ { 2 }$

Question

Quizplus · Accepted Answer

The equation simplifies to $\ln x^{2/3} = 4$, which implies $x^{2/3} = e^4$. Solving for $x$, we get $x = e^{4 \times \frac{3}{2}} = e^6$. However, there seems to be a mistake in the options, as $x = e^6$ is not listed. The closest option is $x = e^3$, which is incorrect based on the calculation.

Solve for X 2ln⁡x−13ln⁡x2=42 \ln x - \frac { 1 } { 3 } \ln x ^ { 2 } = 42lnx−31​lnx2=4

Solve for X $2 \ln x - \frac { 1 } { 3 } \ln x ^ { 2 } = 4$