I was always confused with log. Sometimes its difficult for me to handle log based problems . So, I decided to do project in log in scratch to visualize the curve and also to get a clear picture of that. I started with comparing all the basic curves. First I created Y = X and Y = X^2 as follows,
Then, I went for log(x) and log (x^2). There is no much difference in these two. The plots are same in shape.
At last I plotted the exponent curve (e^x) as follows,