10^(i*pi)=((((2*sqrt(6))*e^(i*x))*sqrt6(x))/((e^((2*i)*x))+1)). X=?

10^(i pi) = (12 e^(i x) x^2)/(1+e^(2 i x))

x = -0.359719-0.170896 i...

x =  0.359719+0.170896 i...

10^(i*pi)=((((2*sqrt(6))*e^(i*x))*sqrt6(x))/((e^((2*i)*x))+1)). X=?

 

((x^a)^b)^c=x^abc

 

\((10^i)^\pi=\)\(1+{2*\sqrt6*(e^i)^x*\sqrt6\over((e^2)^i)^x}\)

\((10^i)^\pi=\)\(1+{12\over (e^i)^x}\)

\((e^i)^x={12\over(10^\Pi)^I-1}\)

\(ix=ln12-ln((10^\pi)^i-1)\)

\(x ={ln12-ln((10^\pi)^i-1)\over i}\)

x ≈ -0.833397+3.85787 i...

x ≈ 0.0990845+0.134895 i...