Okay I was given this problem as a challenge question. It simply says expressing 2x power as a Maclaurin Series. At first, following an example given by my instructor, I thought that by examining the function as I took multiple derivatives I could find a pattern. By as you can imagine taking multiple derivatives of an exponential function is anything but pretty. So instead I thought to express the function as a logarithm and set 2x = n, from there I could rewrite it as Log2 n = x. But I'm having trouble visualizing that as a sum at 0 to infinity. Anyone got any hints?