Logarithms and Logarithmic Functions – Practice & Applications | Algebra 2 Worksheet (CCSS HSF.LE.A.4 Aligned)

This comprehensive Algebra 2 worksheet focuses on logarithmic functions and their real-world applications, perfectly aligned with Common Core Standard HSF.LE.A.4. It includes 60 practice problems designed to reinforce key concepts from Chapter 6, Section 6-3: Logarithms and Logarithmic Functions, plus a full answer key for quick grading or review.

The resource is also 100% editable, allowing you to tailor it to meet the unique needs of your classroom—whether you're teaching in-person, remotely, or on a hybrid schedule.

Standards Alignment

This resource is aligned with:

CCSS HSF.LE.A.4
"For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology."

What’s Included:

Part A: Warm-Up – Key Terms & Pre-Requisite Review

• 7 key definitions (logarithm, common log, natural log, inverse function, and more)
• 7 foundational pre-requisite questions to activate prior knowledge

Part B: Converting Between Forms (10 problems)

• Practice rewriting between exponential and logarithmic forms

Part C: Evaluating Logarithmic Expressions (10 problems)

• Includes common logs, natural logs, and various bases
• Mix of exact and calculator-required answers

Part D: Solving Equations (10 problems)

• Covers both exponential and logarithmic equations
• Builds algebraic fluency and calculator skills

Part E: Real-World Applications (10 problems)

• Growth and decay models
• Logarithmic scales (pH, Richter, sound intensity)
• Continuous growth using e and ln

Part F: Multiple Choice Concept Check (10 questions)

• Great for warm-ups, bellringers, or quick assessments

Answer Key

• Fully worked-out for every section
• Perfect for grading, student check-ins, or review guides

Key Features:

• Editable – Fully customizable to adjust rigor, pacing, or formatting
• Print-and-Go Ready – Use as classwork, homework, sub plans, or formative assessments
• Aligned to Algebra 2 Scope – Seamlessly integrates with any curriculum following Exponential and Logarithmic Functions
• Supports Test Preparation – Strong preparation for state assessments and standardized tests
• Classroom-Tested Design – Clean structure, simple instructions, and scaffolded progression

Suggested Uses:

• Algebra 2 Exponential & Logarithmic Functions Unit
• Common Core-aligned classrooms
• Review packets and assessments
• Extra practice for advanced learners
• Intervention or differentiation activities
• Sub plans and emergency printables

What Teachers Look For:

logarithmic functions, algebra 2 logarithms, HSF.LE.A.4 worksheet, exponential and logarithmic equations, logarithms in real life, natural log practice, evaluate logarithms, solve exponential equations, algebra 2 practice worksheet, logarithmic models

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!