Solve the equation.
-$8 \ln 3 x = 40$
A) $\left\{ \frac { \mathrm { e } ^ { 5 } } { 3 } \right\}$
B) $\left\{ e ^ { 5 / 3 } \right\}$
C) $\left\{ \frac { 5 } { \ln 3 } \right\}$
D) $\left\{ e ^ { 5 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $8 \ln(3x) = 40$, divide both sides by 8 to get $\ln(3x) = 5$. Then, exponentiate both sides to remove the natural logarithm, resulting in $3x = e^5$. Finally, solve for $x$ by dividing both sides by 3, yielding $x = \frac{e^5}{3}$.

Solve the Equation 8ln⁡3x=408 \ln 3 x = 408ln3x=40 A) {e53}\left\{ \frac { \mathrm { e } ^ { 5 } } { 3 } \right\}{3e5​}

Solve the Equation $8 \ln 3 x = 40$ A) $\left\{ \frac { \mathrm { e } ^ { 5 } } { 3 } \right\}$