Question 1151062
 
{{{log(8,x)+log(4,1/6)=1/3}}}

 
{{{log(x)/log(8)+log(1/6)/log(4)=1/3}}}

 
{{{log(x)/log(2^3)+log(1/6)/log(2^2)=1/3}}}

 
{{{log(x)/3log(2)+log(1/6)/2log(2)=1/3}}}........common denominator  {{{6log(2)}}}

 
{{{2log(x)/6log(2)+3log(1/6)/6log(2)=1/3}}}


 {{{2log(x)+3log(1/6)=6log(2)/3}}}


{{{2log(x)+3log(1/6)=2log(2)}}}


{{{log(x^2)+log((1/6)^3)=log(4)}}}


{{{log(x^2)=log(4)-log((1/6)^3)}}}


{{{log(x^2)=log((4/(1/6)^3))}}}


{{{log(x^2)=log((4/(1/216)))}}}


{{{x^2=4/(1/216)}}}


{{{x^2=4*216}}}


{{{x^2=144*6}}}


{{{x^2=864}}}


{{{x = 12sqrt(6)}}}