The solution occurs where the two lines intersect. From this intersection point, draw a vertical line upward until you reach the x axis. We arrive somewhere between -5 and -6. A good estimate is to say that we're at the midpoint, so x = -5 & 1/2 is one possible estimate
Since only choice D has this x value, this must mean choice D is the answer. The y coordinate of y = -3 & 1/4 seems to fit as well since we can draw a horizontal line from the point of intersection to the y axis, and arrive somewhere just a little below -3.
Remember these two combinations: logab=loga+logb, log(a/b)=loga-logb 3logx=logx^3 (1/2)log(x+2)=log(x+2)^(1/2) 2log(z-4)=log(z-4)^2 so the given expression can be combined into log{[(x^3)(z-4)^2]/(x+2)^(1/2)}