Derivation of the Equation of the Parabola

A circle is a locus of points  whose distance from a fixed point is a constant. A parabola can also be described as a locus of points whose distance from a fixed point and a fixed line not passing through that point is a constant. An example of a parabola is shown below. In the figure […]
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Logarithm Base Changing Formula Proof

In a logarithmic expression, it is possible to change base using algebraic manipulation.  For example, we can change to . In this post, we are going to prove why it is possible to do such algebraic manipulation. The change of base above can be generalized as . Theorem . Proof If we let , then […]
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