Question 761163

{{{ log^2 (x^5)=log^2(1-5x)}}}

{{{x^5=1-5x}}}

{{{x^5+5x-1=0}}}

{{{(x^2+x+1) (x^3+x^2+1) = 0}}}

{{{x=0.199936}}}  ........real solution
   
{{{x=-1.10447-1.05983*i}}}  (assuming a complex-valued logarithm)
{{{x=-1.10447+1.05983*i}}}  (assuming a complex-valued logarithm)
{{{x=1.0045-1.06095*i}}} (assuming a complex-valued logarithm)
{{{x=-0.631874-0.380869*i}}}  (assuming a complex-valued logarithm)