Please solve the equation, x = 7491 * Li(x).

Please solve the equation, x = 7491 * Li(x).

Postby Guest » Thu Dec 10, 2015 4:14 pm

Keywords: Li(*) is the Logarithmic Integral.

Please solve the equation, x = 7491 * Li(x). I know x will be a very big number!

Thank you!

Dave (aka primework123)
Guest
 

Re: Please solve the equation, x = 7491 * Li(x).

Postby Guest » Thu Dec 10, 2015 4:54 pm

Guest wrote:Keywords: Li(*) is the Logarithmic Integral.

Please solve the equation, x = 7491 * Li(x). I know x will be a very big number!

Thank you!

Dave (aka primework123)


[tex]a(x) =[/tex] 7491 = x /[tex]Li(x) \approx x /(x/log(x)) = log(x)[/tex].

So, [tex]x \approx e^{7491} \approx 1.995 * 10^{3253}.[/tex]
Guest
 


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