Logarithms can be thought of as taking the inverse of the exponent function.

Before we begin exploring, we will practice the purely algebraic techniques involving Logarithms. (Littell) Ex. 1 Ex. 2

Concept: Because the logarithmic function and exponential function are inverse of each other, the graph of the logarithmic function will be a reflection of the exponential function on the other side of the y = x line.

Tim Brzezinski https://www.geogebra.org/tbrzezinski

1) Play with the a slider. This is the base of the logarithm. Recall what role this plays in the exponential function. 2) Next, play with the c slider. What are the similarities and differences with this and exponential growth and decay. 3) Play with the k slider. What does this do to the graph? 4) Play with d. What does this do to the graph?