Equation with factorial

Dec 2015
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169
Earth
Solve the equation using inverse gamma-function .
\(\displaystyle n!=6\).
 

topsquark

Math Team
May 2013
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The Astral plane
Solve the equation using inverse gamma-function .
\(\displaystyle n!=6\).
I guess I have to ask: Do you know what the inverse gamma function is?

(Frankly I'd just start guessing integers.)

-Dan
 
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Dec 2015
1,084
169
Earth
\(\displaystyle 1<\sqrt{6 n}(n/e)^n \approx 2e\).
\(\displaystyle n>e\) or \(\displaystyle n\approx 3 \).