Solving a 'Harvard' University entrance exam

How can we solve this?

Higher Mathematics
   • Can You Pass Harvard University Entrance E...  
Prime Newtons
   • Lambert W Function  
Lambert W function should be new elementary
https://www.americanscientist.org/art...
Wiki history
https://en.wikipedia.org/wiki/Lambert...
Lambert W
https://cs.uwaterloo.ca/research/tr/1...
SE solving linear = exponential
https://math.stackexchange.com/questi...
WolframAlpha
https://www.wolframalpha.com/input?i2...

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