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How would you find the intersection between a factorial function and exponential function? ie work out:

$x! = 2^x$

Is it even possible ? As factorials only really work with integer values. When I plotted them on desmos, here was what was shown. I'm not sure if desmos just sorta made up the values between?

Thanks

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  • $\begingroup$ The gamma function where $\Gamma(n+1)=n!$ extends factoral to all numbers. $\Gamma(z)=\int_0^\infty x^{z-1}e^{-x}dx$. $\endgroup$ – herb steinberg Mar 21 at 16:26

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