Answer:
The solution set is {3}
Step-by-step explanation:
I am assuming the correctly formatted equation looks like this:
[tex]6\cdot \ln e = e^{\ln 2x}[/tex]
Given that, the following simplifications on both sides of this equation can be made and x can be solved for:
[tex]6\cdot \ln e = e^{\ln 2x}\\6\cdot 1= 2x\\3 = x[/tex]
(recall that ln(e)=1 and e^{ln(x)}=x)
The equation has exactly one solution, namely 3.
