Solve the logarithmic equation algebraically.Approximate the result to three decimal places. $6 \ln x = 5$
A) $e ^ { 5 / 6 } \approx 0.301$
B) $e ^ { 5 / 6 } \approx 1.301$
C) $e ^ { 5 / 6 } \approx 3.301$
D) $e ^ { 5 / 6 } \approx 2.301$
E) $e ^ { 5 / 6 } \approx 4.301$

Question

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.​ $6 \ln x = 5$ ​
A) $e ^ { 5 / 6 } \approx 0.301$
B) $e ^ { 5 / 6 } \approx 1.301$
C) $e ^ { 5 / 6 } \approx 3.301$
D) $e ^ { 5 / 6 } \approx 2.301$
E) $e ^ { 5 / 6 } \approx 4.301$

Quizplus · Accepted Answer

To solve $6 \ln x = 5$, divide both sides by 6 to get $\ln x = \frac{5}{6}$. Exponentiating both sides with base $e$ gives $x = e^{5/6}$. Calculating $e^{5/6}$ gives approximately 2.301.

Solve the Logarithmic Equation Algebraically 6ln⁡x=56 \ln x = 56lnx=5 ​ A)

Solve the Logarithmic Equation Algebraically $6 \ln x = 5$
A)