Why does $\displaystyle \int \frac{3dx}{2x+5}=\frac{3}{2}ln|2x+5|$?

I get: $\displaystyle \int \frac{3}{2x+5}=ln|2x+5|$

$\displaystyle \frac{d}{dx} ln|2x+5|=\frac{1}{2x+5}$

So by my logic I would just multiply ln|2x+5| by 3, why is the coefficient 3\2 then?