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**Mush** Consider what each expression stands for or represents. In the first, the modulus of Z is the length of the line that joins the point on the plane to the origin, and arg Z is the angle of Z. In other words, the length of the line is equal to its angle. So when the angle is zero, the length of the line is zero, when the line is at pi/2 radians, it has length pi/2. What you should get is an anticlockwise spiral whose radius grows continually.

What is the base of the logarithm in part 2?