Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
6. Exponential & Logarithmic Functions
Introduction to Logarithms
0:48 minutes
Problem 87
Textbook Question
Textbook QuestionIn Exercises 81–100, evaluate or simplify each expression without using a calculator. In 1
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Following these rules is crucial when simplifying expressions to avoid errors.
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Simplifying Expressions
Simplifying expressions involves reducing them to their simplest form by combining like terms, eliminating parentheses, and performing operations. This process often includes factoring, distributing, and applying the order of operations. Mastery of simplification is essential for solving equations and evaluating expressions accurately.
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Evaluating Expressions
Evaluating expressions means substituting variables with their respective values and performing the necessary calculations to find a numerical result. This process requires a solid understanding of arithmetic operations and the ability to apply the order of operations correctly. It is a fundamental skill in algebra that allows students to solve problems and analyze mathematical relationships.
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Master Logarithms Introduction with a bite sized video explanation from Callie
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