# Logarithmic Action (4)!

Interact with the applet below for a few minutes.

**At any time, you can move the purple point with coordinates (**Please answer the questions that follow.*c*, 0) anywhere on the positive x-axis.For any value *c* > 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.