Question 969072
{{{log(x)-3log(x)=-2log(2)}}}

{{{log(x)-log(x^3)=log(2^(-2))}}}

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

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

{{{log((1/x^2))=log((1/4))}}}...if log same, then

{{{1/x^2=(1/4)}}}....cross multiply

{{{1*4=1*x^2}}}

{{{x^2=4}}}

{{{x=2}}} or {{{x=-2}}}=> disregard negative solution because log of negative number is {{{undefined}}}

so, your answer is: {{{x=2}}} 


{{{ graph( 600, 600, -10, 10, -10, 10, log(10,x)-3log(10,x), -2log(10,2)) }}}