Solve the equation for x. Give an approximate solution accurate to four decimal places.
-$\ln 6 \mathrm { x } = 0.6$
A) $\{ 0.3356 \}$
B) $\{ 0.2718 \}$
C) $\{ 0.3037 \}$
D) $\{ 3.6 \}$

Question

Quizplus · Accepted Answer

To solve the equation $\ln(6x) = 0.6$, first exponentiate both sides to get rid of the natural logarithm: $e^{\ln(6x)} = e^{0.6}$. This simplifies to $6x = e^{0.6}$. Then, solve for $x$ by dividing both sides by 6: $x = \frac{e^{0.6}}{6}$. Using a calculator, $x \approx 0.3037$.

Solve the Equation for X ln⁡6x=0.6\ln 6 \mathrm { x } = 0.6ln6x=0.6

Solve the Equation for X $\ln 6 \mathrm { x } = 0.6$