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

First, divide both sides by 6 to isolate ln(x), getting ln(x) = 5/6. Then, exponentiate both sides to solve for x, resulting in 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) e5/6≈0.301e ^ { 5 / 6 } \approx 0.301e5/6≈0.301

Solve the Logarithmic Equation Algebraically $6 \ln x = 5$ A) $e ^ { 5 / 6 } \approx 0.301$