Logarithmic Action (4)!
Interact with the applet below for a few minutes.
At any time, you can move the purple point with coordinates (c, 0) anywhere on the positive x-axis.
Please answer the questions that follow.
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.