Test
Properties of logarithms practice
Students practice applying properties of logarithms, including product, quotient, and power rules, through a series of question types such as identifying correct rule applications, rewriting expressions, expanding, and condensing logs in structured steps. Suitable for 11th-grade learners.
By Edform · Mathematics · Grade 11 · Published Oct 15, 2026 · New
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Questions
- Which of the following correctly applies the product rule to log₃(4x)?
- Which expression is equivalent to 2 log₅y?
- Which of the following are correct expansions of log₂(8x/y)?
- Put the steps in order to condense log₄a + 2 log₄b - log₄c into a single logarithm.
- Match each logarithmic expression to its equivalent form.
- Assume x > 0. Fill in the blanks to expand log₃(5x²):
- Choose the correct word to complete the sentence: The ___ rule allows you to write log₄(x⁵) as 5 log₄x.
- Sort each expression as 'Expanded' or 'Condensed'.
- Determine if each statement about logarithms is true or false.
- Evaluate log₂8 + log₂4.
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