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Grade 11algebraOriginal practice

Algebra 2: Exponential & Logarithmic Functions

Evaluate logarithms, apply exponent rules, solve exponential decay and compound interest equations with step-by-step mathematical solutions.

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About this practice

Grade 11 · math · Matching answer key included · US Letter and A4

US Letter practice PDF ↓ · Answer PDF ↓A4 practice PDF ↓ · Answer PDF ↓
Preview the original practiceAlgebra 2: Exponential & Logarithmic Functions: first student practice page

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Teaching guide, sample answers and curriculum references

Before you begin

Work with exponents and understand inverse operations.

How to use this worksheet

  1. Model the target skill: express logarithms as inverse functions of exponentials: log_b(y) = x if and only if b^x = y. Use the first task as a guided example before asking for an independent response.
  2. Check readiness first: Work with exponents and understand inverse operations.
  3. Discuss an incorrect response using this distinction: A logarithm asks for an exponent; it is not the exponent's product with the base.

A common mistake to discuss

A logarithm asks for an exponent; it is not the exponent's product with the base.

What to practice next

Rewrite the same relationship in exponential and logarithmic forms and check its domain.

Sample question and answer

Evaluate the exact numerical value of the logarithm: log₂(64)

  • A. 32
  • B. 6
  • C. 8
  • D. 16

Answer: B. By definition: log₂(64) = x <=> 2^x = 64. Since 2^6 = 64, x = 6.

Intended curriculum references: CCSS.MATH.CONTENT.HSF.LE.A.4 · CCSS.MATH.CONTENT.HSF.BF.B.5. These references describe learning goals; they are not endorsements.

Published 2026-10-02; updated 2026-10-02. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.

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