Question 985655
{{{log(x,3)+log(3,x)=10/3}}}
{{{log(3,3)/log(3,x)+log(3,x)=10/3}}}
{{{log(3,3)+log(3,x)log(3,x)=(10/3)log(3,x)}}}
{{{3*(log(3,x))^2-10*log(3,x)+3=0}}}
which is in quadratic form, and you can use general solution formula for quadratic equation.


{{{log(3,x)=(10+- sqrt(100-4*3*3))/6}}}


{{{log(3,x)=1/3}}}  OR  {{{log(3,x)=3}}}
Simple from here; otherwise say if still some trouble.