7.4 Evaluate Logarithms and Graph Logarithmic Functions

Intro to Logarithms
Logarithms can be thought of as taking the inverse of the exponent function.
Reference: McDougal Littell, Algebra 2 pg. 499
Practice Makes Perfect
Before we begin exploring, we will practice the purely algebraic techniques involving Logarithms.[br][br](Littell) [br]Ex. 1[br]Ex. 2
Graphing the Logarithmic Function
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.[br][br]
Reference: McDougal Littell, Algebra 2 pg. 502
Model Reference
Tim Brzezinski[br]https://www.geogebra.org/tbrzezinski
Instructions for Model
1) Play with the a slider. This is the base of the logarithm. Recall what role this plays in the exponential function.[br]2) Next, play with the c slider. What are the similarities and differences with this and exponential growth and decay.[br]3) Play with the k slider. What does this do to the graph?[br]4) Play with d. What does this do to the graph?[br]

Information: 7.4 Evaluate Logarithms and Graph Logarithmic Functions