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Algebra 2

Exponents and Logs are mathematical operations that appear in the natural world and in many sciences. We introduce you to these operations and explain how they are related. Learn about the different rules and properties of logs that will help you in Computing Logarithms in our sub-topic Introduction to Logarithms Discover why The Product Rule for Logarithms and The Change-Of-Base Property of Logarithms are essential tools for Simplifying Logarithmic Expressions and finding solutions. Whether your focus is basic introductory rules or preparing for college level algebra, this course provides insights and proficiencies on multiple levels.

- Introduction to Logarithms
- The Graph of a Logarithm
- Points for Roots Exponents and Logs
- Identity Property of Logarithms
- Zero Property of Logarithms
- Log of Zero
- Log of a Negative
- Computing Logarithms
- The Product Rule For Logarithms
- The Quotient Rule For Logarithms
- The Power Rule For Logarithms
- The Change-Of-Base Property for Logarithms
- Applying the Product Rule and the Quotient Rule
- Apply the Product Rule and the Quotient Rule with a Coeffiecient
- Applying the Product Quotient and Power Rules
- Applying the Power Rule with an Expression
- Expansion of Logarithmic Expressions
- Expanding Logarithmic Expressions
- Simplifying Logarithmic Expressions
- Applying Known Log Values
- Taking the Log of a Fraction
- Taking the Log of a Root
- Solving Logarithmic Equations
- The Domain of Logarithmic Functions
- The Common Logarithmic Function
- Common Log In the Wild
- The Natural Logarithmic Function
- Natural Log in the Wild
- Exponential Equations
- Compound Interest
- Continuously Compounding Interest
- Simplification of Logarithmic Expressions
- Exponential to Logarithmic Format
- Logarithmic to Exponential Form
- Logarithmic and Exponential Functions
- Graphs of Logarithmic and Exponential Functions
- Graphing a Logarithmic Equation
- Determining the X Intercept of a Log
- Determining the Vertical Asymptote of a Log
- Solving Exponential Equations with Logarithms

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.