Question 1184275

{{{log(x^3+3) - log(x+7) + log(2)= log (x)}}} 


{{{log((x^3+3)/(x+7)) + log(2)= log (x)}}} 


{{{log(2(x^3+3)/(x+7)) = log (x)}}} ........if log same, we have


{{{2(x^3+3)/(x+7) = x}}}


{{{2(x^3+3) = x(x+7)}}}


{{{2x^3+6 =  x^2+7x}}}


{{{2x^3+6 - x^2-7x=0}}}


{{{2x^3 - x^2-7x+6=0}}}....factor


{{{2x^3+x^2-6x - 2x^2-x+6=0}}}


{{{(2x^3 - 2x^2)+(x^2-x) -(6x-6)=0}}}


{{{2x^2(x - 1)+x(x -1) -6(x-1)=0}}}


{{{(x - 1) (2x^2 + x - 6) = 0}}}


{{{(x - 1) (2x^2 +4x-3x - 6) = 0}}}


{{{(x - 1) ((2x^2 +4x)-(3x+ 6)) = 0}}}


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


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


solutions:

{{{x=1}}}

{{{x=-2}}}

{{{x=3/2}}}