Problem
Solve the logarithmic equation. \[ \ln 2 x=4.8 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \{\} . (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The solution is the empty set.
Solution
Step 1 ：Solve the logarithmic equation \(\ln 2 x=4.8\).
Step 2 ：Rewrite the equation in exponential form: \(e^{4.8} = 2x\).
Step 3 ：Solve for x by dividing both sides of the equation by 2: \(x = \frac{e^{4.8}}{2}\).
Step 4 ：Calculate the value of x: \(x = 60.75520875936743\).
Step 5 ：Final Answer: The solution is \(\boxed{60.75520875936743}\).
