Try the questions first: [ Ссылка ]
These questions are designed by "HelloItsMe". Thank you. : )

A few things to keep in mind:
1. If f(x)=x*e^x, then f^-1(x)=W(x).
2. W(x)e^W(x)=x for x is at least -1/e
3. W(xe^x)=x for x is at least -1
More on Lambert W function: [ Ссылка ]
#bprplive

0:00 Getting ready!
1:11 Some main properties of W(x)
5:00 Q1, W(W(x))=1
7:51 Q2, W(x)=ln(2x)
12:00 Q3, W(e^x)=(W(e))^x
15:20 Q4, 1+W((e^2-1)x)=e^2
17:48 Q5, W(9x-7)e^W(9x-7)=-1/e
20:29 Q6, W(e^(e^2+1+x^x))=x^x
26:01 Q7, W(e^(x+1))=x+1
28:41 Q8, W(x+1)=(x+1)^2
37:57 Solve x^x^x=a?

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