### Still have math questions?

Find the areas between the curves $$y = 2 ( \log _ { 2 } x ) / x$$ and $$y =$$ $$2 ( \log _ { 4 } x ) / x$$ and the $$x$$ -axis from $$x = 1$$ to $$x = e$$ . What is the ratio of the larger area to the smaller?
$$\frac { 1 } { \ln 2 } , \frac { 1 } { 2 \ln 2 } , 2 : 1$$