Lesson 1: Exponential Functions of the Form y = ax , a > 1

• Characteristics of graphs of exponential functions, a > 1

• Characteristics of graphs of exponential functions, 0 < a < 1

• Relationship between Exponential & Logarithmic functions, a > 1

  • Algebraically

  • Graphically (relationship explained)

  • Domain and range

• Solved sample questions for more clarification

• Evaluating logarithms

• Tips for solving

Lesson 2: Transformation of Logarithmic Functions

• Identifying the parent logarithmic function

• Identifying the transformed logarithmic function

• General equation of the transformed logarithmic function

• Explanation of terms

• Properties of transformed parent logarithmic functions

• Horizontal translations explained with graphs

• Vertical stretches / compressions explained with graphs

• Horizontal stretches / compressions explained with graphs

• Reflection in the x-axis explained with graphs

• Reflection in the y-axis explained with graphs

Lesson 3: Evaluating Logarithms

• Recall the definition of a logarithm

• Determining values of logarithms using definition

• 2 strategies for evaluating logarithms

• 3 properties of logarithms to know

• Solutions to sample questions using properties

• Solutions of questions to evaluate logarithms

• Estimating logarithms using a graph

• Estimating logarithms to 2 decimal places

Lesson 4: Laws of Logarithms

• Relationship with Exponent laws:

  • Product law

  • Quotient law

  • Power law

• Evaluating / simplifying logarithmic expressions

  • Identifying strategies to use

  • Expanding expressions before simplifying

• Description of transformations from one graph to another

  • Use of laws of Logarithms

Here are a few sample questions for you to practice. The answers are given at the end.