Exponential Equations
1 hr 13 min 17 Examples
- Properties of Exponents with 10 Examples
- Rules for Solving Exponential Equations with 7 Examples
Graphing Exponential Functions
1 hr 5 min 13 Examples
- How to Graph Exponential Functions using a Table of Values
- How to Graph Exponential Functions using Transformations
- 13 Examples of Graphing Exponential Function and finding Domain and Range
Logarithmic Functions
1 hr 22 min 20 Examples
- Properties of Logarithms
- 7 Examples of Expanding the Logarithm and Simplifying using Properties
- 6 Examples of Condensing the Logarithm and Simplifying (write as a single log)
- 6 Examples of Evaluating and Simplifying the Log without a calculator
- Change-of-Base Formula with 2 Examples
Solving Logarithmic Equations
53 min 12 Examples
- Steps for Solving Logarithmic Equations and Review of Exponential and Logarithmic Properties
- 12 Examples of Solving the logarithmic Equation
Graphing Logarithmic Functions
45 min 12 Examples
- Overview of Rules/Steps for Graphing Log Functions
- 12 Examples of Graphing Logarithmic Function and finding domain and range
Compound Interest Formula
41 min 6 Examples
- Overview of Compound Interest and Formulas
- Example #1: Interest rate compounded semiannually
- Example #2: Amount after 10 years with interest rate compounded semiannually
- Example #3: Interest rate compounded (a) annually, (b) monthly, (c) daily, and (d) continuously
- Example #4: Find the principal amount with interest compounded semiannually
- Example #5: Interest rate compounded quarterly
- Example #6: Discovering the irrational number e
Exponential Growth
48 min 5 Examples
- Overview of Growth and Decay Formula and Steps for Solving
- Example #1:Bacteria is growing exponentially
- Example #2: A company’s sales are declining exponentially
- Example #3: A city’s population is growing exponentially
- Example #4: Radioactive element decays exponentially proportional to its mass
- Example #5: Half-life of a radioactive substance
Chapter Test
1 hr 40 min 35 Examples
- Examples #1-4: Graph the Exponential or Logarithmic Functions and determine Domain and Range
- Examples #5-8: Graph the Exponential or Logarithmic Functions and determine Domain and Range
- Examples #9-10: Graph the Exponential or Logarithmic Functions and determine Domain and Range
- Examples #11-13: Expand each expression using properties
- Examples #14-16: Condense and write each as a single logarithm
- Examples #17-18: Use the Change-of-Base Formula
- Examples #19-21: Evaluate each logarithm without a calculator
- Examples #22-24: Solve each Equation
- Examples #25-27: Solve each Equation
- Examples #28-29: Solve each Equation
- Examples #30-31: Solve each Equation
- Example #32: Exponential Decay of a Radioactive Element
- Example #33: Exponential Growth of a Population
- Examples #34-35: Compound Interest