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 Exponential Functions
2:52 minutes
Problem 8
Textbook Question
Textbook QuestionSolve each equation. Round answers to the nearest hundredth as needed. x^(2/3) =36
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Exponents and Fractional Powers
Exponents represent repeated multiplication, and fractional exponents indicate roots. For example, x^(2/3) means the cube root of x squared. Understanding how to manipulate and interpret fractional exponents is crucial for solving equations involving them.
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Isolating the Variable
To solve an equation, one must isolate the variable on one side. This often involves performing inverse operations, such as raising both sides to a power or applying roots. In the given equation, isolating x requires manipulating the equation to eliminate the exponent.
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Equations with Two Variables
Rounding and Significant Figures
Rounding is the process of adjusting a number to a specified degree of accuracy, often to simplify results. In this context, rounding to the nearest hundredth means keeping two decimal places. Understanding how to round correctly is essential for presenting final answers in a clear and precise manner.
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