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SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
Find the perfect SAT prep plan designed to match your goals, study style, and budget. Begin your journey to top scores and college admission success with SAT Sphere!
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This SAT Sphere lesson focuses on essential SAT test topics in the Logarithmic Functions section. You'll build a strong understanding of core concepts, learn time-saving test-taking strategies, and apply your knowledge to realistic Digital SAT practice questions.
01
Introduction to Logarithmic Functions
Explains why logarithms matter on the Digital SAT and reminds students to recall exponent laws, solving exponential equations, and basic graphing of exponential functions.
02
Exponents to Logarithms — The Inverse Link
Teaches students to rewrite exponential statements in logarithmic form and vice versa, building on their prior work with exponential functions.
03
Core Properties of Logarithms
Introduces the product, quotient, and power rules for simplifying logarithmic expressions, extending the exponent-addition rule mastered earlier.
04
Common & Natural Logs plus Change-of-Base
Shows how to work with base-10 and base-e logarithms on the Digital SAT calculator and derive the change-of-base formula for any other base.
05
Solving Single-Logarithm Equations
Guides students through isolating one logarithm and converting to exponential form to solve, building on their inverse-operation understanding from Slide 2.
06
Solving Equations with Multiple Logs
Uses log properties to combine terms and solve more complex equations while checking domains for extraneous roots, extending Slides 3 and 5.
07
Real-World Applications of Logarithms
Applies logarithms to pH, Richter scale, and compound-interest problems, reinforcing equation-solving skills in practical contexts.
08
Graphing Logarithmic Functions
Visualizes domains, intercepts, vertical asymptotes, and common transformations, solidifying the link between algebraic form and graphical behavior.
09
Mixed Practice: Modeling & Solving Log Problems
Provides SAT-style questions that integrate conversion, properties, graph reading, and application skills from Slides 2–8.
10
Key Takeaways and Targeted Practice
Summarizes main ideas, highlights common pitfalls, and offers a mini-quiz to reinforce every objective covered in the lesson.
View Example SAT Lesson with Practice Questions and Explanations
Each SAT Sphere lesson is a focused, interactive learning experience aligned with the new Digital SAT exam format. Lessons include SAT practice questions, detailed explanations, and concept reviews to support your SAT Math or Reading and Writing preparation. Designed for measurable improvement, our SAT lessons build confidence and mastery one topic at a time.
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Access a complete Digital SAT curriculum that covers all tested topics and question types.
Build Your Digital SAT Skills with the Advanced Algebra and Functions Module
This lesson is part of the Advanced Algebra and Functions module, a structured SAT prep unit designed to improve your performance in key areas of the Digital SAT. Each module includes multiple SAT-focused lessons that develop critical thinking, analytical skills, and test-taking confidence. Progress through each module to strengthen your understanding and raise your overall SAT score.
Advance your SAT preparation by completing other SAT Sphere lessons in the Advanced Algebra and Functions module. Each lesson targets a specific concept tested on the Digital SAT, helping you deepen your knowledge and refine your skills for the real exam.
08
Modules
SAT Sphere includes 8 focused modules that cover every topic tested in the Math and Reading & Writing sections of the Digital SAT. Each module is built to strengthen core skills and test-taking ability.
86
Lessons
With 86 in-depth lessons, SAT Sphere helps you understand key SAT concepts clearly and efficiently. Our lessons break down each topic into simple, actionable parts.
10k+
Practice
Apply your knowledge using interactive SAT-style practice questions. Get immediate insights with feedback and explanations that help you improve fast.
+6k
Flash cards
Reinforce your learning with more than 6900 flash cards. Use them to review vocabulary, grammar, math facts, and more — anytime, anywhere.
Personalized study plan
Stay organized with our AI-powered study planner. Set your test date and daily study goals, and get a custom SAT prep plan tailored to your pace. Make consistent progress and be fully prepared by test day.
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SAT/AI gives you personalized, step-by-step guidance that fits your learning style. Stuck on a tough math problem or confused by a reading passage? SAT/AI breaks it down clearly, offers instant feedback, and helps you learn from mistakes—building your confidence and boosting your score, one question at a time.
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Begin your SAT preparation with SAT Sphere's comprehensive Digital SAT course. Access expertly crafted SAT lessons, interactive practice questions, and proven strategies to improve your SAT Math and SAT Reading and Writing scores. Whether you're aiming for a perfect 1600 or looking to boost your score, SAT Sphere guides you step-by-step toward SAT success.
Master logarithmic functions in this lesson built for Digital SAT success. Engage with interactive examples and targeted practice exercises designed to deepen your understanding and boost your score.
Master the SAT with our targeted lesson on Logarithmic Functions, part of SAT Sphere’s Digital SAT curriculum. This lesson delivers in-depth concept explanations, problem-solving techniques, and SAT-style practice questions to help you improve your SAT performance. Ideal for both SAT Math and Reading & Writing, each lesson helps you build confidence for test day.