identify the solution set of 6 ln e = e^ln 2x\n{2}\n{3}\n{6}\ndone

Explanation:

Step1: Use logarithmic property

Recall that $\ln e = 1$ and $e^{\ln a}=a$. So, $6\ln e=6\times1 = 6$ and $e^{\ln 2x}=2x$.

Step2: Solve the equation

Set up the equation $6 = 2x$. Divide both sides by 2: $\frac{6}{2}=x$, so $x = 3$.

Answer:

{3}