Interact with the applet below for a few minutes. [br][b][color=#9900ff]At any time, you can move the purple point with coordinates ([i]c[/i], 0) anywhere on the positive x-axis. [/color] [/b][br][br]Please answer the questions that follow.
For any value [i]c[/i] > 0, write 2 identities that express the relationships visually shown here.
Since logarithms are exponents, explain why (using what you already know about exponent properties), these two relationships must be true.