Learning Resources

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Outcomes

In this lesson you will learn

• express numbers as various powers with different bases
• solve some types of exponential equations by interpreting a graph
• solve some types of exponential equations by using algebra

By the end of this section students will be able to:

• demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
• apply real number exponents in expressions and equations
• demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
• solve exponential and logarithmic equations
• solve problems involving exponential and logarithmic equations
• model real-world phenomena using exponential functions
• describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• rule for a power of a power: 
• rule for zero exponent :
• rule for negative exponents:
• solving quadratic equations
• solving systems of equations