Students convert between exponential and logarithmic forms, interpret logarithms as exponents, and evaluate logarithms with exact integer values, including values involving 1 and negative integer exponents. Students apply the product, quotient, and power laws to expand and condense real logarithmic expressions with positive arguments, using familiar integer and rational powers while recognizing that logarithms do not distribute over sums or differences. Students solve simple logarithmic equations and exponential equations by using inverse relationships and logarithm properties, checking that bases are positive and not 1, all arguments are positive, and solutions satisfy the original equations.
On this page:
- Master skills like “Expand logarithmic expressions”, “Condense logarithmic expressions”, and “Apply the power law of logarithms” with unlimited, free practice problems
- Download (or modify) free worksheets on Logarithmic Concepts you can use at home or in class with practice problems across all skills in this group including “Interpret logarithms as exponents”, “Solve simple logarithmic equations”, “Apply the product law of logarithms”.
- Start working on adaptive units like “Logarithms - Intro” or “Logarithm Functions - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Logarithmic Concepts: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Apply the power law of logarithms
- Apply the product law of logarithms
- Apply the quotient law of logarithms
- Condense logarithmic expressions
- Convert between exponential and logarithmic form
- Evaluate logarithms with integer values
- Expand logarithmic expressions
- Interpret logarithms as exponents
- Solve simple logarithmic equations
- Use logarithms to solve exponential equations
Practice 'Apply the power law of logarithms'
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Download/Modify Free Grade 11 'Logarithmic Concepts' Worksheet
Print this free 'Logarithmic Concepts' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply the power law of logarithms
- Apply the product law of logarithms
- Apply the quotient law of logarithms
- Condense logarithmic expressions
- Convert between exponential and logarithmic form
- Evaluate logarithms with integer values
- Expand logarithmic expressions
- Interpret logarithms as exponents
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Logarithmic Concepts) through scaffolded problems that grow in difficulty as concepts are understood.