Question 1124557
{{{ log((x^3+3)) - log((x+7)) + log((2)) = log((x)) }}}
{{{ log((x^3+3)) - log((x+7)) = log((x)) - log((2))  }}}
{{{ log(((x^3+3)/(x+7))) = log((x/2))  }}}

Raise 10 to each side:
{{{  (x^3+3)/(x+7) = (x/2) }}}

After some Algebra:
{{{   2x^3-x^2-7x+6 = 0 }}}

This factors to:
{{{  (2x-3)*(x-1)*(x+2) = 0 }}}

Solutions {{{ highlight(x=3/2) }}} and {{{ highlight(x=1) }}} work.   Discard x = -2 because log(x) not defined for x<0.